Abe Noriyuki

アベノリユキ | Abe Noriyuki

Affiliation and department：

Research field (1)： Algebra

Research keywords (3)：放物型誘導表現 , 半単純Lie群 , Jacquet加群

Research theme for competitive and other funds (11)：

2020 - 2025 局所志村多様体と局所ラングランズ対応
2018 - 2023 法p表現とHecke環の表現論
2018 - 2022 Supersingular representations of p-adic groups
2014 - 2018 Study of mod p representations of p-adic groups
2013 - 2017 Quantization of singular nilpotent orbits of reductive Lie groups and realization of unitary representations

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Papers (21)：

Noriyuki Abe. Parabolic inductions for pro-$p$-Iwahori Hecke algebras. Advances in Mathematics. 2019. 355
Noriyuki Abe. A comparison between pro-$p$-Iwahori Hecke modules and mod $p$ representations. Algebra & Number Theory. 2019. 13. 8. 1959-1981
Noriyuki Abe. Involutions on pro-$p$-Iwahori Hecke algebras. Representation Theory. 2019. 23. 57-87
Noriyuki Abe, Guy Henniart, Marie-France Vignéras. Modulo $p$ representations of reductive $p$-adic groups: functorial properties. Transactions of the American Mathematical Society. 2019. 371. 8297-8337
Noriyuki Abe. Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra. Journal für die reine und angewandte Mathematik. 2019. 749. 1-64

ｍore...

MISC (4)：

Abe Noriyuki. On a structure of modulo $p$ parabolically induced representations of $p$-adic reductive groups (Algebraic Number Theory and Related Topics 2013). RIMS Kokyuroku Bessatsu. 2015. 53. 33-46
ABE Noriyuki. Coxeter system and the category $\mathcal{O}$ (New developments in group representation theory and non-commutative harmonic analysis). RIMS Kokyuroku Bessatsu. 2012. 36. 131-139
Abe Noriyuki. Duflo-Zelobenko 4-term exact sequence and homomorphisms between principal series (New Viewpoints of Representation Theory and Noncommutative Harmonic Analysis). RIMS Kokyuroku Bessatsu. 2010. 20. 31-38
Abe Noriyuki. Jacquet modules of principal series generated by the trivial $K$-type (Representation Theory and Analysis on Homogeneous Spaces). RIMS Kokyuroku Bessatsu. 2008. 7. 145-156

Professional career (1)：

Work history (5)：

2023/10 - 現在 The University of Tokyo Graduate School of Mathematical Sciences
2018/04 - 2023/09 The University of Tokyo Graduate School of Mathematical Sciences
2015/04 - 2018/03 Hokkaido university Department of Mathematics Associate Professor
2011/02 - 2015/03 Hokkaido university Creative Research Institution (CRIS)
2010/04 - 2011/02 東京大学数理(科)学研究科(研究院) その他

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