Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone

TL;DR

This paper classifies all irreducible coherent state representations of the holomorphic automorphism group associated with a specific tube domain over the dual of the Vinberg cone, advancing understanding of its representation theory.

Contribution

It provides a complete classification of irreducible coherent state representations for this automorphism group, a novel result in the context of complex analysis and Lie group representations.

Findings

Complete classification of irreducible coherent state representations

New insights into the structure of automorphism groups of tube domains

Advances in the representation theory of complex Lie groups

Abstract

We classify all irreducible coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone.