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Quantum Stiefel
manifold and double cosets of quantum unitary group
G.B. Podkolzin and L.I. Vainerman |
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Vol. 188 (1999), No. 1, 179–199
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Abstract |
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We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n − m) (m < n), classify its irreducible representations and get a formula for its invariant integral. We also study the double cosets Uq(n − m)∖Uq(n)∕Uq(n − m) and the hypergroup structure associated with them. |
Milestones
Received: 6 November 1996
Revised: 10 January 1997
Published: 1 March 1999
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Authors |
| G.B. Podkolzin | |
| Kiev Technical University Kiev 252033 Ukraine |
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| L.I. Vainerman | |
| International Solomon
University Kiev 252187 Ukraine |
URA CNRS 747 (Case 191) Universite Paris VI 4 Pl. Jussieu, 75252 Paris Cedex 05 France |
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