67 citations · 98 across the 20 of their papers we have counts for
4 papers · 1 filter
On the graph products of simplicial groups and connected Hopf algebras
Li Cai
In this paper we study the classifying spaces of graph products of simplicial groups and connected Hopf algebras over a field, and show that they can be uniformly treated under the…
Spherical Characters in Families: the unitary Gan-Gross-Prasad case
Li Cai, Yangyu Fan
We consider the variation of spherical characters in families. We formulate conjectures for the rationality and meromorphic property of spherical characters. As an example, we esta…
Multiplicities of Representations in Algebraic Families
Li Cai, Yangyu Fan
In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally…
Higher Ext-groups in the triple product case
Li Cai, Yangyu Fan
In this short note, we compute higher extension groups for all irreducible representations and deduce the multiplicity formula for finite length representations in triple product c…