Ext-analogues of Branching laws

TL;DR

This paper explores Ext-analogues of branching laws for representations of p-adic groups and their subgroups, providing new insights into the structure of these representations.

Contribution

It introduces the concept of Ext-analogues of branching laws in the p-adic setting, extending classical branching law theory.

Findings

Developed a framework for Ext-analogues in p-adic groups

Established new relationships between representations and their Ext-groups

Provided initial results on the structure of Ext-branching laws

Abstract

We consider the Ext-analogues of branching laws of representations for a group to its subgroups in the context of $p$-adic groups.