論文など

English

論文

  1. A bimodule description of the Hecke category, Compositio Math., Vol. 157, Issue 10, 2133--2159.
  2. Parabolic inductions for pro-$p$-Iwahori Hecke algebras, Advances in Mathematics Volume 355, 2019.
  3. A comparison between pro-$p$-Iwahori Hecke modules and mod $p$ representations, Algebra & Number Theory, Vol. 13 (2019), No. 8, 1959-1981.
  4. Involutions on pro-$p$-Iwahori Hecke algebras, Represent. Theory 23 (2019), 57-87.
  5. (with G. Henniart and M.-F. Vignéras) On pro-$p$-Iwahori invariants of $R$-representations of reductive $p$-adic groups, Representation Theory 22 (2018), 119-159.
  6. (with G. Henniart and M.-F. Vignéras) Modulo $p$ representations of reductive $p$-adic groups: functorial properties, Trans. Amer. Math. Soc. 371 (2019), 8297-8337.
  7. Change of weight theorem for pro-$p$-Iwahori Hecke algebras, Around Langlands correspondences, Contemp. Math., vol. 691, Amer. Math. Soc., Providence, RI, 2017, pp. 1-13.
  8. Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra, Journal für die reine und angewandte Mathematik. 749 (2019), 1--64.
  9. (with G. Henniart, F. Herzig, M.-F. Vigneras) A classification of irreducible admissible mod $p$ representations of $p$-adic reductive groups, J. Amer. Math. Soc. 30 (2017), 495-559.
  10. (with M. Kaneda) Loewy structure of $G_1T$-Verma modules of singular highest weights, Journal of the Institute of Mathematics of Jussieu. 16 (2017), no. 4, 887--898.
  11. First extension groups of Verma modules and $R$-polynomials, J. Lie Theory 25 (2015), no. 2, 377--393. [Correction]
  12. (with Y. Mieda) Jacquet functor and De Concini-Procesi compactification, International Mathematics Research Notices, 12 (2015), 3810--3829.
  13. (with M. Kaneda) Loewy series of parabolically induced $G_1T$-Verma modules, Journal of the Institute of Mathematics of Jussieu. 14 (2015), no. 01, 185--220.
  14. On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group, Compositio Mathematica. 149 (2013), no. 12, 2139--2168.
  15. The category $\mathcal{O}$ for a general Coxeter system, J. Algebra 367 (2012), no. 1, 1--25.
  16. Generalized Jacquet Modules of Parabolically Induced Representations, Publ. Res. Inst. Math. Sci. 48 (2012), no. 2, 419--473.
  17. On the existence of homomorphisms between principal series representations of complex semisimple Lie groups, J. Algebra 330 (2011), no. 1, 468--481.
  18. (with Y. Mieda) A remark on the geometric Jacquet functor, J. Math. Sci. Tokyo 17 (2010), 243--246.
  19. (with H. Nakaoka) General heart construction on a triangulated category (II): Associated cohomological functor, Applied Categorical Structures, 20 (2012), no. 2, 161--174.
  20. Vanishing of extensions of twisted Verma modules, Proc. Amer. Math. Soc. 137 (2009), 3923--3926.
  21. (with H. Yamashita) A note on Howe duality correspondence and isotropy representations for unitary lowest weight modules of $Mp(n,\mathbb{R})$, J. Lie Theory 19 (2009), no. 4, 671--683.
  22. Jacquet Modules of Principal Series Generated by the Trivial $K$-Type, Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, 1169--1197.

プレプリント

  1. Extension between simple modules of pro-$p$-Iwahori Hecke algebras, arXiv:1705:00728.
  2. (with F. Herzig and M.-F. Vigneras) Inverse Satake isomorphism and change of weight, arXiv:1805.00244.
  3. A Hecke action on $G_1T$-modules, arXiv:1904.11350.
  4. On singular Soergel bimodules, arXiv:2004.09014.
  5. A homomorphism between Bott-Samelson bimodules, arXiv:2012.09414.

報告集など

  1. Duflo-Zelobenko 4-term exact sequence and homomorphisms between principal series (in Japanese), 数理解析研究所講究録別冊 B20, 31--38.
  2. Jacquet modules of principal series generated by the trivial $K$-type (in Japanese), 数理解析研究所講究録別冊 B7, 145--156.
  3. On Soergel bimodules (in Japanese), 数理解析研究所講究録 2139, 131--135.

その他数学関係で書いたもの

  1. 山下 博 述,阿部 紀行 記,簡約リー群の表現と冪零軌道, Lecture Notes in Mathematical Sciences 3
  2. レポートを書くためのTeX超入門,数学セミナー 2012年6月号(目指せ!「数学道」).
  3. (with G. Henniart, F. Herzig, M.-F. Vigneras) Questions on mod $p$ representations of reductive $p$-adic groups, arXiv:1703.02063.
  4. 書評:「代数群と軌道」(太田琢也・西山享著),2019年,第71巻.
  5. 単純加群と拡大と,数学セミナー,2019年12月号(私が惹かれるこの概念).
  6. 書評:「インストールいらずのLaTeX入門 ---Overleafで手軽に文書作成」(坂東慶太 著),数理科学,2020年5月号.
  7. コロナ時代のLaTeX環境,数学セミナー,2020年12月号(コロナ時代の数学).
  8. 線型代数,数学セミナー,2021年7月号(分野別 この数学書を薦めたい!).
  9. 群の作用,数学セミナー増刊,大学数学の質問箱(2) ,2021年7月.
  10. 連立一次方程式を解く,数理科学,2021年10月号(線形代数の考え方).