Mathematical Journal of Okayama University 60巻 1号
2018-01 発行
A binomial-coefficient identity arising from the middle discrete series of SU(2,2)
Hayata, Takahiro
Graduate School of Science and Engineering, Yamagata University
Ishikawa, Masao
Graduate School of Natural Science and Technology, Okayama University
Publication Date
2018-01
Abstract
The aim of this paper is to answer the question in Remark 8.2 of 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, by giving an elementary proof of certain identities on binomials.
Keywords
binomial-coefficient identity
middle discrete series
real semi-simple Lie groups.
Comments
Mathematics Subject Classi cation. Primary 05A10; Secondary 05A19, 22E40, 33C05.
This research was partially supported by grant-in-aid from the Japan Society for the
Promotion of Science (Grant Numbers 16K05068).
ISSN
0030-1566
NCID
AA00723502
