Involutions on pro-p-Iwahori Hecke algebras

2017/04/03 by Noriyuki Abe, Abe, Noriyuki · 1 citation
Mathematics · #20C08 #20G25 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:20C08 #msc:20G25

paper · pdf · doi:10.48550/arxiv.1704.00407

29 pages. arXiv admin note: text overlap with arXiv:1612.01312

arxiv created 2017/04/03 · openalex publication_date 2017/04/03 · arxiv updated 2017/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The pro-p-Iwahori Hecke algebra has an involution ι defined in terms of Iwahori-Matsumoto basis. Then for a module π of pro-p-Iwahori Hecke, π^ι= π∘ ι is also a module. We calculate π^ι for simple modules π. We also calculate the dual of π.

Citations

• Parabolic inductions for pro-p-Iwahori Hecke algebras

Cited by

• Extension between simple modules of pro-p-Iwahori Hecke algebras

Related

• Peter--Weyl Iwahori algebras
• Extension between simple modules of pro-p-Iwahori Hecke algebras
• Involutions in Weyl groups and nil-Hecke algebras
• Modulo p parabolic induction of pro-p-Iwahori Hecke algebra
• Pro-p-Iwahori invariants for SL₂ and L-packets of Hecke modules