論文など

English

論文

  1. A homomorphism between Bott-Samelson bimodules, Nagoya Mathematical Journal.
  2. (with F.Herzig) On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_{3}$, to appear in Vietnam Journal of Mathematics (special issue dedicated to Pham Huu Tiep's 60th birthday), arXiv:2303.13289.
  3. On one-sided singular Soergel bimodules, J. Algebra 633 (2023), 722–753.
  4. A Hecke action on $G_1T$-modules, Journal of the Institute of Mathematics of Jussieu.
  5. Extension between simple modules of pro-$p$-Iwahori Hecke algebras, J. Inst. Math. Jussieu, 22 (2023), no. 6, 2775--2804.
  6. (with F. Herzig and M.-F. Vignéras) Inverse Satake isomorphism and change of weight, Represent. Theory 26 (2022), 264--324.
  7. A bimodule description of the Hecke category, Compos. Math. 157 (2021), no. 10, 2133--2159.
  8. Parabolic inductions for pro-$p$-Iwahori Hecke algebras, Adv. Math. 355 (2019), 106776, 63 pp.
  9. A comparison between pro-$p$-Iwahori Hecke modules and mod $p$ representations, Algebra Number Theory 13 (2019), no. 8, 1959--1981.
  10. Involutions on pro-$p$-Iwahori Hecke algebras, Represent. Theory 23 (2019), 57--87.
  11. (with G. Henniart and M.-F. Vignéras) On pro-$p$-Iwahori invariants of $R$-representations of reductive $p$-adic groups, Represent. Theory 22 (2018), 119--159.
  12. (with G. Henniart and M.-F. Vignéras) Modulo $p$ representations of reductive $p$-adic groups: functorial properties, Trans. Amer. Math. Soc. 371 (2019), no. 12, 8297--8337.
  13. Change of weight theorem for pro-$p$-Iwahori Hecke algebras, Around Langlands correspondences, 1--13, Contemp. Math., 691, Amer. Math. Soc., Providence, RI, 2017.
  14. Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra, J. Reine Angew. Math. 749 (2019), 1-64.
  15. (with G. Henniart, F. Herzig, M.-F. Vignéras) A classification of irreducible admissible mod $p$ representations of $p$-adic reductive groups, J. Amer. Math. Soc. 30 (2017), no. 2, 495--559.
  16. (with M. Kaneda) Loewy structure of $G_1T$-Verma modules of singular highest weights, J. Inst. Math. Jussieu 16 (2017), no. 4, 887--898.
  17. First extension groups of Verma modules and $R$-polynomials, J. Lie Theory 25 (2015), no. 2, 377--393.[Correction]
  18. (with Y. Mieda) Jacquet functor and De Concini-Procesi compactification, Int. Math. Res. Not. IMRN 2015, no. 12, 3810--3829.
  19. (with M. Kaneda) Loewy series of parabolically induced $G_1T$-Verma modules, J. Inst. Math. Jussieu 14 (2015), no. 1, 185--220.
  20. On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group, Compos. Math. 149 (2013), no. 12, 2139--2168.
  21. The category $\mathcal{O}$ for a general Coxeter system, J. Algebra 367 (2012), 1--25.
  22. Generalized Jacquet Modules of Parabolically Induced Representations, Publ. Res. Inst. Math. Sci. 48 (2012), no. 2, 419--473.
  23. On the existence of homomorphisms between principal series representations of complex semisimple Lie groups, J. Algebra 330 (2011), 468--481.
  24. (with Y. Mieda) A remark on the geometric Jacquet functor, J. Math. Sci. Univ. Tokyo 17 (2010), no. 2, 243--246.
  25. (with H. Nakaoka) General heart construction on a triangulated category (II): Associated cohomological functor, Appl. Categ. Structures 20 (2012), no. 2, 161--174.
  26. Vanishing of extensions of twisted Verma modules, Proc. Amer. Math. Soc. 137 (2009), 3923--3926.
  27. (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.
  28. 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. (with F.Herzig) On the irreducibility of $p$-adic Banach principal series of $p$-adic reductive groups, arXiv:2303.13287.
  2. Singular Soergel bimodules for realizations, arXiv:2401.04994.

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）．
  11. 8，数学セミナー，2021年12月号（この数が面白い！）
  12. 『多角形と多面体』（数セミメディアガイド），数学セミナー，2022年3月号
  13. 『魅惑のロジャーズ-ラマヌジャン恒等式』（数セミメディアガイド），数学セミナー，2022年10月号
  14. 『クルツワイル‐ヘンストック積分入門』（数セミメディアガイド），数学セミナー，2023年3月号
  15. レポートを書くためのTeX超入門，大学数学ガイダンス，日本評論社，2024年．