A binomial-coefficient identity arising from the middle discrete series of SU(2,2)
Takahiro Hayata, Masao Ishikawa
TL;DR
This paper provides an elementary proof of binomial identities related to the middle discrete series of SU(2,2), addressing a specific remark in prior research and contributing to the understanding of matrix coefficients in representation theory.
Contribution
It introduces a new elementary proof of binomial identities associated with the middle discrete series of SU(2,2), clarifying a previously noted remark.
Findings
Elementary proof of binomial identities
Clarification of a remark in prior work
Enhanced understanding of matrix coefficients
Abstract
The aim of this paper is to give an elementary proof of certain identities on binomials and state an answer to Remark 8.2 in Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2,2), J. Funct. Anal. 185 (2001), 297-341.
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Taxonomy
TopicsAdvanced Algebra and Geometry