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Almost-Gelfand Property of Symmetric Pairs

Published 30 Oct 2018 in math.RT and math.GR | (1810.12888v1)

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.

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