Gelfand pair associated with a hoph algebra and a coideal
We consider a pair of a compact quantum group and a coideal in its dual Hopf *-algebra and introduce the notions of Gelfand pair and strict Gelfand pair. For a strict Gelfand pair, we construct two hyper-complex systems dual to each other. As an example, we consider the quantum analog of the pair (U(n), SO(n)).
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1157-1171.
Citation Example: Chapovsky Yu. Gelfand pair associated with a hoph algebra and a coideal // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1055–1066.