Formal dimension for semisimple symmetric spaces

2000/04/06 by Bernhard Kroetz
Mathematics · #math.RT

paper · pdf

published as Compositio Mathematica 125: 155-191 (2001) · To appear in Compositio Mathematica

arxiv created 2000/04/06 · arxiv updated 2009/11/30

Abstract

In this paper we generalize Harish Chandra's formula for the formal dimension of a representation of the holomorphic discrete series of a hermitian Lie group G to semisimple symmetric spaces G/H.

Related

• Associated symmetric pair and multiplicities of admissible restriction of Discrete Series
• Dimension formula for the space of relative symmetric polynomials of D_n with respect to any irreducible representation
• Borel-de Siebenthal discrete series and associated holomorphic discrete series
• A simplified approach to the holomorphic discrete series
• A Note on the Symmetric Powers of the Standard Representation of S_n