Integrable representations of \(U_q(\text{osp}(1,2n))\)

DOI10.1016/S0022-4049(97)00088-1zbMath0930.17011OpenAlexW1502695782MaRDI QIDQ1295567

Yi Ming Zou

Publication date: 11 January 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00088-1

zbMATH Keywords

\(q\)-deformationintegrable representationscomplete reducibility theoremPBW theorem\(\text{osp} (1,2n)\)contragredient classical Lie superalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Superalgebras (17A70)

Related Items

Unitary highest weight representations of quantum general linear superalgebra, Quantum supergroups II. Canonical basis, A geometric setting for quantum 𝔬𝔰𝔭(1|2), Canonical basis for quantum \(\mathfrak{osp}(1|2)\), A quantum fermion realisation of the finite dimensional spinor representation of Uq(osp(1|2n)), Quantum supergroups. I: Foundations, The first fundamental theorem of invariant theory for the orthosymplectic supergroup, Young tableaux and crystal base for \(U_q(\text{osp}(1|2n))\), Crystal bases for Kac-Moody superalgebras, LUSZTIG SYMMETRIES AND AUTOMORPHISMS OF QUANTUM SUPERALGEBRAS U_q(osp(1|2r)), A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2), Crystal bases for \(U_q(osp (1,2r))\)

Cites Work

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