Almost-Gelfand Property of Symmetric Pairs
Representation Theory
2018-10-31 v1 Group Theory
Abstract
In this paper, we show almost-Gelfand property of connected symmetric pairs (G, H) over finite fields of large characteristics. We will show almost-\sigma-invariant property of double coset H\G/H where \sigma is the associated anti-involution, and \epsilon-version of Gelfand's trick to make use of the fixed points of anti-involution.
Keywords
Cite
@article{arxiv.1810.12888,
title = {Almost-Gelfand Property of Symmetric Pairs},
author = {Nan Shi},
journal= {arXiv preprint arXiv:1810.12888},
year = {2018}
}
Comments
20 pages, thesis submitted to Northwestern University