Some new spinor representations of quantum groups B q(n), C q(n), G q(2)

DOI10.1063/1.530136zbMath0786.17010OpenAlexW2009668197MaRDI QIDQ4203233

Tigran Hakobyan, A. G. Sedrakyan

Publication date: 8 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530136

zbMATH Keywords

quantized enveloping algebrasfolding\(q\)-spinor representations of quantum deformations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (2)

On the universal \(R\)-matrix of \(U_ q\widehat{sl}_ 2\) at roots of unity ⋮ A quantum fermion realisation of the finite dimensional spinor representation of Uq(osp(1|2n))

Cites Work

• Fermionic construction of vertex operators for twisted affine algebras
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Vertex operators for non-simply-laced algebras
• Quantum Lie superalgebras and q-oscillators

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