Involutions on pro-$p$-Iwahori Hecke algebras

Noriyuki Abe

Involutions on pro-$p$-Iwahori Hecke algebras

Representation Theory 2017-04-04 v1 Number Theory

Authors: Noriyuki Abe

Abstract

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

Keywords

pro-p-Iwahori Hecke algebra involution Iwahori-Matsumoto basis module simple module dual module

Cite

@article{arxiv.1704.00407,
  title  = {Involutions on pro-$p$-Iwahori Hecke algebras},
  author = {Noriyuki Abe},
  journal= {arXiv preprint arXiv:1704.00407},
  year   = {2017}
}

Comments

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

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