Geometry and representations of the quantum supergroup OSPq(1|2n)
DOI10.1063/1.532882zbMath1032.17502arXivmath/9804111OpenAlexW2023824493MaRDI QIDQ4701914
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Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9804111
parabolic inductionquantum supergroupHaar functionalquantum homogeneous supervector bundlesPeter-Weyl theorygeneralized Borel-Weil theoremquantum Frobenius reciprocityquantum homogeneous superspaces
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry (à la Connes) (58B34)
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Cites Work
- Cohomology of G/P for classical complex Lie supergroups G and characters of some atypical G-modules
- Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)
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- Symmetrizable quantum affine superalgebras and their representations
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- The antipode of and star operations in a Hopf algebra
- Cohomology of Lie superalgebras and their generalizations
- The quantum superalgebra Uq(osp(1/2n)): deformed para-Bose operators and root of unity representations
- QUANTUM SUPERGROUPS AND TOPOLOGICAL INVARIANTS OF THREE-MANIFOLDS
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