Multiplicities of Representations in Algebraic Families

Li Cai; Yangyu Fan

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arXiv · 2305.11557

Multiplicities of Representations in Algebraic Families

Li Cai·Yangyu Fan

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Abstract

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.

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Li Cai, Yangyu Fan. 2023-05-19. Multiplicities of Representations in Algebraic Families. https://arxiv.org/abs/2305.11557

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