A very easy approach to the holomorphic discrete series
Adam Kor\'anyi
TL;DR
This paper presents a simplified proof of the Harish-Chandra condition for holomorphic discrete series representations, building on Wallach's earlier work to make the proof more accessible.
Contribution
It offers a concise and accessible proof of a key condition in the theory of holomorphic discrete series, simplifying previous approaches.
Findings
Provides a short proof of the Harish-Chandra condition
Simplifies understanding of holomorphic discrete series
Builds on Wallach's earlier work
Abstract
Based on the material in an old article of Wallach a short proof of the Harish-Chandra condition is given.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · advanced mathematical theories