Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
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| Creator |
Caspers, M.
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| Description |
We study Gelfand pairs for locally compact quantum groups. We give an operator algebraic interpretation and show that the quantum Plancherel transformation restricts to a spherical Plancherel transformation. As an example, we turn the quantum group analogue of the normaliser of SU(1,1) in SL(2,C) together with its diagonal subgroup into a pair for which every irreducible corepresentation admits at most two vectors that are invariant with respect to the quantum subgroup. Using a Z₂-grading, we obtain product formulae for little q-Jacobi functions.
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| Date |
2019-02-14T16:55:15Z
2019-02-14T16:55:15Z 2011 |
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| Type |
Article
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| Identifier |
Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs / M. Caspers // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 44 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 16T99; 43A90 http://dspace.nbuv.gov.ua/handle/123456789/147385 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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