Papers
Preprints
- A. Chan, O. Iyama, R. Marczinzik, Total preprojective algebras, preprint written in 2025. (arXiv)
- T. Adachi, O. Iyama, I. Reiten, On $\tau$-tilting theory, preprint written in 2024. (arXiv)
- A. Chan, O. Iyama, R. Marczinzik, Auslander-Reiten's Cohen-Macaulay algebras and contracted preprojective algebras, preprint written in 2024. (arXiv)
- S. Asai, O. Iyama, $M$-TF equivalences in the real Grothendieck groups, preprint written in 2024. (arXiv)
- O. Iyama, Y. Kimura, K. Ueyama, Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one, preprint written in 2024. (arXiv)
- O. Iyama, Y. Kimura, Torsion classes of extended Dynkin quivers over Noetherian rings, preprint written in 2023. (arXiv)
- T. Aoki, A. Higashitani, O. Iyama, R. Kase, Y. Mizuno, Fans and polytopes in tilting theory II: g-fans of rank 2, preprint written in 2023. (arXiv)
- A. Chan, O. Iyama, R. Marczinzik, Dominant Auslander-Gorenstein algebras and mixed cluster tilting, preprint written in 2022. (arXiv)
- N. Hanihara, O. Iyama, Enhanced Auslander-Reiten duality and Morita theorem for singularity categories, preprint written in 2022. (arXiv)
- T. Aoki, A. Higashitani, O. Iyama, R. Kase, Y. Mizuno, Fans and polytopes in tilting theory I: Foundations, preprint written in 2022. (arXiv)
- A. Chan, E. Darpö, O. Iyama, R. Marczinzik, Periodic trivial extension algebras and fractionally Calabi-Yau algebras, to appear in Ann. Sci. École Norm. Sup., preprint written in 2020. (arXiv)
- O. Iyama, K. Kato, J. Miyachi, Polygon of recollements and $N$-complexes, preprint written in 2016. (arXiv)
- d-Calabi-Yau algebras and d-cluster tilting subcategories, note related to paper 2 below. (pdf)
- Rejective subcategories of artin algebras and orders, unpublished manuscript written in 2003.
(arXiv)
Papers
- S. Asai, O. Iyama, Semistable torsion classes and canonical decompositions in Grothendieck groups, Proc. Lond. Math. Soc. (3) 129 (2024), no. 5, Paper No. e12639. (arXiv, journal)
- O. Iyama, N. Williams, Triangulations of prisms and preprojective algebras of type A, Int. Math. Res. Not. IMRN 2024, no. 13, 10236--10254. (arXiv, journal)
- O. Iyama, Y. Kimura, Classifying subcategories of modules over Noetherian algebras, Adv. Math. 446 (2024), Paper No. 109631. (arXiv, journal)
- O. Iyama, H. Nakaoka, Y. Palu, Auslander-Reiten theory in extriangulated categories, Trans. Amer. Math. Soc. Ser. B 11 (2024), 248--305. (arXiv, journal)
- M. Herschend, O. Iyama, H. Minamoto, S. Oppermann, Representation theory of Geigle-Lenzing complete intersections, Mem. Amer. Math. Soc. 285 (2023), no. 1412. (arXiv, journal)
- L. Demonet, O. Iyama, N. Reading, I. Reiten, H. Thomas, Lattice theory of torsion classes: Beyond $\tau$-tilting theory. Trans. Amer. Math. Soc. Ser. B 10 (2023), 542--612. (arXiv, journal)
- O. Iyama, H. Jin, Positive Fuss-Catalan numbers and Simple-minded systems in negative Calabi-Yau categories, Int. Math. Res. Not. IMRN 2023, no. 8, 6624--6647. (arXiv, journal)
- O. Iyama, R. Marczinzik, Distributive lattices and Auslander regular algebras. Adv. Math. 398 (2022), Paper No. 108233. (arXiv, journal)
- J. Grant, O. Iyama, Higher preprojective algebras, Koszul algebras and superpotentials, Compos. Math. 156 (2020), no. 12, 2588--2627. (arXiv, journal)
- H. Dao, O. Iyama, R. Takahashi, M. Wemyss, Gorenstein modifications and Q-Gorenstein rings, J. Algebraic Geom. 29 (2020), no. 4, 729--751. (arXiv, journal)
- O. Iyama, D. Yang, Quotients of triangulated categories and Equivalences of Buchweitz, Orlov and Amiot-Guo-Keller, Amer. J. Math. 142 (2020), no. 5, 1641--1659. (arXiv, journal)
- O. Iyama, X. Zhang, Classifying $\tau$-tilting modules over the Auslander algebra of $K[x]/(x^n)$, J. Math. Soc. Japan 72 (2020), no. 3, 731--764. (arXiv, journal)
- R. Buchweitz, O. Iyama, K. Yamaura, Tilting theory for Gorenstein rings in dimension one. Forum Math. Sigma 8 (2020), Paper No. e36, 37 pp. (arXiv, journal)
- E. Darpö, O. Iyama, d-representation-finite self-injective algebras, Adv. Math. 362 (2020), 106932. (arXiv, journal)
- O. Iyama, Tilting Cohen-Macaulay representations, Proceedings of the International Congress of Mathematicians--Rio de Janeiro 2018. Vol. II. Invited lectures, 125--162, World Sci. Publ., Hackensack, NJ, 2018. (arXiv, journal)
- O. Iyama, M. Wemyss, Weighted Projective Lines and Rational Surface Singularities, Epijournal Geom. Algebrique 3 (2019), Art. 13. (arXiv, journal)
- O. Iyama, X. Zhang, Tilting modules over Auslander-Gorenstein algebras, Pacific J. Math. 298 (2019), no. 2, 399--416. (arXiv, journal)
- H. Dao, O. Iyama, S. Iyengar, R. Takahashi, M. Wemyss, Y. Yoshino, Noncommutative resolutions using syzygies, Bull. Lond. Math. Soc. 51 (2019), no. 1, 43--48. (arXiv, journal)
- L. Demonet, O. Iyama, G. Jasso, $\tau$-tilting finite algebras, bricks and $g$-vectors, Int. Math. Res. Not. IMRN 2019, no. 3, 852--892. (arXiv, journal)
- A. Chan, O. Iyama, R. Marczinzik, Auslander-Gorenstein algebras from Serre-formal algebras via replication, Adv. Math. 345 (2019), 222--262. (arXiv, journal)
- O. Iyama, D. Yang, Silting reduction and Calabi--Yau reduction of triangulated categories, Trans. Amer. Math. Soc. 370 (2018), no. 11, 7861--7898. (arXiv, journal)
- O. Iyama, N. Reading, I. Reiten, H. Thomas, Lattice structure of Weyl groups via representation theory of preprojective algebras, Compos. Math. 154 (2018), no. 6, 1269--1305. (arXiv, journal)
- O. Iyama, Y. Nakajima, On steady non-commutative crepant resolutions, J. Noncommut. Geom. 12 (2018), no. 2, 457--471. (arXiv, journal)
- O. Iyama, M. Wemyss, Reduction of triangulated categories and maximal modification algebras for cA_n singularities, J. Reine Angew. Math. 738 (2018), 149--202. (arXiv, journal)
- O. Iyama, O. Solberg, Auslander-Gorenstein algebras and precluster tilting, Adv. Math. 326 (2018), 200--240. (arXiv, journal)
- O. Iyama, K. Kato, J. Miyachi, Derived categories of $N$-complexes, J. Lond. Math. Soc. 96 (2017), no. 3, 687--716. (arXiv, journal)
- O. Iyama, G. Jasso, Higher Auslander correspondence for dualizing $R$-varieties, Algebr. Represent. Theory 20 (2017), no. 2, 335--354. (arXiv, journal)
- L. Demonet, O. Iyama, Lifting preprojective algebras to orders and categorifying partial flag varieties, Algebra Number Theory 10 (2016), no. 7, 1527--1579. (arXiv, journal)
- O. Iyama, B. Lerner, Tilting bundles on orders on $P^d$, Israel J. Math. 211 (2016), no. 1, 147--169. (arXiv, journal)
- O. Iyama, I. Reiten, H. Thomas, G. Todorov, Lattice structure of torsion classes for path algebras, Bull. Lond. Math. Soc. 47 (2015), no. 4, 639--650. (arXiv, journal)
- C. Amiot, O. Iyama, I. Reiten, Stable categories of Cohen-Macaulay modules and cluster categories, Amer. J. Math. 137 (2015), no. 3, 813--857. (arXiv, journal)
- H. Dao, O. Iyama, R. Takahashi, C. Vial, Non-commutative resolutions and Grothendieck groups, J. Noncommut. Geom. 9 (2015), no. 1, 21--34. (arXiv, journal)
- O. Iyama, P. Jorgensen, D. Yang, Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes, Algebra Number Theory 8 (2014), no. 10, 2413--2431. (arXiv, journal)
- M. Kalck, O. Iyama, M. Wemyss, D. Yang, Frobenius categories, Gorenstein algebras and rational surface singularities, Compos. Math. 151 (2015), no. 3, 502--534. (arXiv, journal)
- O. Iyama, M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities, Invent. Math. 197 (2014), no. 3, 521--586.
(arXiv, journal)
- O. Iyama, I. Reiten, Introduction to $\tau$-tilting theory, Proc. Natl. Acad. Sci. USA 111 (2014), no. 27, 9704--9711. (arXiv, journal)
- O. Iyama, M. Wemyss, Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras, Adv. Math. 261 (2014), 85--121. (arXiv, journal)
- T. Adachi, O. Iyama, I. Reiten, $\tau$-tilting theory, Compos. Math. 150 (2014), no. 3, 415--452.
(arXiv, journal)
- M. Herschend, O. Iyama, S. Oppermann, n-representation infinite algebras, Adv. Math. 252 (2014), 292--342.
(arXiv, journal)
- T. Aihara, T. Araya, O. Iyama, R. Takahashi, M. Yoshiwaki, Dimensions of triangulated categories with respect to subcategories, J. Algebra 399 (2014), 205--219.
(arXiv, journal)
- O. Iyama, Mutation and $g$-vectors in $\tau$-tilting theory, Oberwolfach Report (2013), 3397--3400. (pdf, journal)
- O. Iyama, M. Wemyss, On the Noncommutative Bondal-Orlov Conjecture, J. Reine Angew. Math. 683 (2013), 119--128.
(arXiv, journal)
- O. Iyama, R. Takahashi, Tilting and cluster tilting for quotient singularities, Math. Ann. 356 (2013), no. 3, 1065--1105.
(arXiv, journal)
- O. Iyama, S. Oppermann, Stable categories of higher preprojective algebras, Adv. Math. 244 (2013), 23--68.
(arXiv, journal)
- R. Inoue, O. Iyama, B. Keller, A. Kuniba, T. Nakanishi, Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Type C_r, F_4, and G_2, Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, 43--85.
(arXiv, journal)
- R. Inoue, O. Iyama, B. Keller, A. Kuniba, T. Nakanishi, Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r, Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, 1--42.
(arXiv, journal)
- O. Iyama, M. Wemyss, A new triangulated category for rational surface singularities, Illinois J. Math. 55 (2011), no. 1, 325--341.
(arXiv, journal)
- T. Aihara, O. Iyama, Silting mutation in triangulated categories, J. Lond. Math. Soc. 85 (2012), no. 3, 633--668.
(arXiv, journal)
- C. Amiot, O. Iyama, I. Reiten, G. Todorov, Preprojective algebras and c-sortable words, Proc. Lond. Math. Soc. 104 (2012), no. 3, 513--539.
(arXiv, journal)
- O. Iyama, K. Kato, J. Miyachi, Recollement of homotopy categories and Cohen-Macaulay modules, J. K-Theory 8 (2011), no. 3, 507--542. (arXiv, journal)
- M. Herschend, O. Iyama, Selfinjective quivers with potential and 2-representation-finite algebras, Compos. Math. 147 (2011), no. 6, 1885--1920.
(arXiv, journal)
- O. Iyama, S. Oppermann, n-representation-finite algebras and n-APR tilting, Trans. Amer. Math. Soc. 363 (2011), no. 12, 6575--6614.
(arXiv, journal)
- O. Iyama, Stable categories of preprojective algebras and cluster categories, Oberwolfach Report (2011), 600--603. (pdf, journal)
- A. Buan, O. Iyama, I. Reiten, D. Smith, Mutation of cluster-tilting objects and potentials, Amer. J. Math. 133 (2011), no. 4, 835--887.
(arXiv, journal)
- M. Herschend, O. Iyama, n-representation-finite algebras and twisted fractionally Calabi-Yau algebras, Bull. Lond. Math. Soc. 43 (2011), no. 3, 449--466.
(arXiv, jorunal)
- O. Iyama, I. Reiten, 2-Auslander algebras associated with reduced words in Coxeter groups, Int. Math. Res. Not. IMRN 2011, no. 8, 1782--1803. (arXiv, journal)
- O. Iyama, Stable categories of Cohen-Macaulay modules and cluster categories, Oberwolfach Report (2010), 1338--1341. (pdf, journal)
- O. Iyama, Cluster tilting for higher Auslander algebras, Adv. Math. 226 (2011), no. 1, 1--61. (arXiv, journal)
- O. Iyama, M. Wemyss, The classification of special Cohen-Macaulay modules, Math. Z. 265 (2010), no. 1, 41--83.
(arXiv, journal)
- R. Inoue, O. Iyama, A. Kuniba, T. Nakanishi, J. Suzuki, Periodicities of T-systems and Y-systems, Nagoya Math. J. 197 (2010), no. 1, 59--174.
(arXiv, journal)
- A. Buan, O. Iyama, I. Reiten, J. Scott, Cluster structures for 2-Calabi-Yau categories and unipotent groups, Compos. Math. 145 (2009), no. 4, 1035--1079. (arXiv, journal)
- O. Iyama, Auslander-Reiten theory revisited, Trends in Representation Theory of Algebras and Related Topics, 349--398, European Mathematical Society, 2008. (arXiv)
- O. Iyama, I. Reiten, Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras, Amer. J. Math. 130 (2008), no. 4, 1087--1149. (arXiv, journal)
- O. Iyama, Cluster tilting in 2-Calabi-Yau categories II, Oberwolfach Report (2008), 410--414. (pdf, journal)
- I. Burban, O. Iyama, B. Keller, I. Reiten, Cluster tilting for one-dimensional hypersurface singularities, Adv. Math. 217 (2008), no. 6, 2443--2484. (arXiv, journal)
- O. Iyama, Y. Yoshino, Mutation in triangulated categories and rigid Cohen-Macaulay modules, Invent. Math. 172 (2008), no. 1, 117--168. (arXiv, journal)
- Z. Huang, O. Iyama, Auslander-type conditions and cotorsion pairs, J. Algebra 318 (2007), no. 1, 93--110. (arXiv, journal)
- O. Iyama, Auslander correspondence, Adv. Math. 210 (2007), no. 1, 51--82. (arXiv, journal)
- O. Iyama, Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories, Adv. Math. 210 (2007), no. 1, 22--50. (arXiv, journal)
- O. Iyama, Tilting modules over Calabi-Yau algebras, Oberwolfach Report (2006), 492--494. (pdf, journal)
- O. Iyama, Maximal orthogonal subcategories of triangulated categories satisfying Serre dualities, Oberwolfach Report (2005), 355--357. (pdf, journal)
- O. Iyama, $\tau$-categories III: Auslander orders and Auslander-Reiten quivers, Algebr. Represent. Theory 8 (2005), no. 5, 601--619.
(journal)
- O. Iyama, $\tau$-categories II: Nakayama pairs and Rejective subcategories, Algebr. Represent. Theory 8 (2005), no. 4, 449--477.
(journal)
- O. Iyama, $\tau$-categories I: Ladders, Algebr. Represent. Theory 8 (2005), no. 3, 297--321.
(journal)
- O. Iyama, Quadratic bimodules and Quadratic orders, J. Algebra 286 (2005), no. 2, 247--306.
(journal)
- O. Iyama, The relationship between homological properties and representation theoretic realization of artin algebras, Trans. Amer. Math. Soc. 357 (2005), no. 2, 709--734.
(arXiv, journal)
- O. Iyama, Representation dimension and Solomon zeta function, Representations of finite dimensional algebras and related topics in Lie theory and geometry, 45--64, Fields Inst. Commun., 40, Amer. Math. Soc., Providence, RI, 2004.
(arXiv)
- O. Iyama, Radical embeddings and representation dimension (with K. Erdmann, T. Holm, J. Schroer), Adv. Math. 185 (2004), no. 1, 159--177.
(arXiv, journal)
- O. Iyama, On Hall algebras of hereditary orders, Comm. Algebra 32 (2004), no. 4, 1571--1579.
(journal)
- O. Iyama, Symmetry and duality on $n$-Gorenstein rings, J. Algebra 269 (2003), no. 2, 528--535.
(journal)
- O. Iyama, Finiteness of Representation dimension, Proc. Amer. Math. Soc. 131 (2003), no. 4, 1011--1014.
(journal)
- O. Iyama, A proof of Solomon's second conjecture on local zeta functions of orders, J. Algebra 259 (2003), no. 1, 119--126.
(journal)
- O. Iyama, J-adic filtration of orders with application to orders of finite type, J. Math. Kyoto Univ. 42 (2002), no. 3, 429--441.
(journal)
- O. Iyama, Representation theory of orders, Algebra---representation theory (Constanta, 2000), 63--96, NATO Sci. Ser. II Math. Phys. Chem., 28, Kluwer Acad. Publ., Dordrecht, 2001. (pdf)
- O. Iyama, Some categories of lattices associated to a central idempotent, J. Math. Kyoto Univ. 38 (1998), no. 3, 487--501.
(journal)
- O. Iyama, A Generalization of Rejection Lemma of Drozd-Kirichenko, J. Math. Soc. Japan 50 (1998), no. 3, 697--718.
(journal)
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