Gelfand pair associated with a Hoph algebra and a coideal

• Published in: Український математичний журнал
• Date: 1994
• Main Author: Chapovsky, Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1994
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156724
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Gelfand pair associated with a Hoph algebra and a coideal / Yu. Chapovsky // Український математичний журнал. — 1994. — Т. 46, № 8. — С. 1055–1066. — Бібліогр.: 15 назв. — англ.

A pair of a compact quantum group and a coideal in its dual Hopf *-algebra is considered. A notion of a Gelfand pair and a strict Gelfand pair is introduced. For a strict Gelfand pair, two hypercomplex systems dual to each other are constructed. As an example, the quantum analog of the pair (U(n), S...