Multiplicities of Representations in Algebraic Families

Fuente: arXiv
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Main Authors: Cai, Li, Fan, Yangyu
Format: Preprint
Published: 2023
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author Cai, Li
Fan, Yangyu
author_facet Cai, Li
Fan, Yangyu
contents In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler-Poincare numbers. This generalizes the main result of Aizenbud-Sayag for unramified twisting families.
format Preprint
id arxiv_https___arxiv_org_abs_2305_11557
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Multiplicities of Representations in Algebraic Families
Cai, Li
Fan, Yangyu
Number Theory
Representation Theory
In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler-Poincare numbers. This generalizes the main result of Aizenbud-Sayag for unramified twisting families.
title Multiplicities of Representations in Algebraic Families
topic Number Theory
Representation Theory
url https://arxiv.org/abs/2305.11557