ABE, Noriyuki

Title
Professor
Field
Representation theory
Research interests
Representation theory of reductive groups
Current research

I study representation theory of reductive groups and the associated algebras such as Hecke algebras and Lie algebras.
Selected publications
  1. N. Abe, A bimodule description of the Hecke category, Compos. Math. 157 (2021), no. 10, 2133--2159.
  2. N. Abe, Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra, J. Reine Angew. Math. 749 (2019), 1--64.
  3. N. Abe, G. Henniart, F. Herzig and 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.
  4. N. Abe and M. Kaneda, Loewy series of parabolically induced $G_{1}T$-Verma modules, J. Inst. Math. Jussieu 14 (2015), no. 1, 185--220.
  5. N. Abe, On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group, Compos. Math. 149 (2013), no. 12, 2139--2168.

Memberships, Awards and

activities

Mathematical Society of Japan