activity
20022025
most citedSymmetry breaking for representations of rank one orthogonal groups

96 citations · 209 across the 17 of their papers we have counts for

collaborators

17 papers

math.RT2025

Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties

Michael Harris, Toshiyuki Kobayashi, Birgit Speh

We study properties of the restriction of discrete series representations of to and the corresponding symmetry breaking operators in $\operatorname{Hom}_{…

math.RT2025

How does the restriction of representations change under translations? A story for the general linear groups and the unitary groups

Toshiyuki Kobayashi, Birgit Speh

We present a new approach to symmetry breaking for pairs of real forms of . Translation functors are powerful tools for studying families…

math.RT2024

Whitney extensions on symmetric spaces

Birgit Speh, Peter Vang Uttenthal

In 1934, H. Whitney introduced the problem of extending a function on a set of points in to an analytic function on the ambient space. In this article we prove Whitn…

math.RT2022

Some branching laws for symmetric spaces

Bent Orsted, Birgit Speh

In this paper we consider the unitary symmetric spaces of the form X=U(p,q)/U(1)U(p,q-1) and their discrete series representations. Inspired by the work of A.Venkatesh and Y.Sekell…

math.CA2022

Askey-Wilson Polynomials and Branching Laws

Allen Back, Bent Orsted, Siddhartha Sahi +1

Connection coefficient formulas for special functions describe change of basis matrices under a parameter change, for bases formed by the special functions. Such formulas are relat…

math.RT2020★ 1 cited

A hidden symmetry of a branching law

Toshiyuki Kobayashi, Birgit Speh

We consider branching laws for the restriction of some irreducible unitary representations of to its subgroup . In Kobayashi (arXiv:1907.07994), the irre…