Quantum group \(A_ \infty\)

DOI10.1007/BF02099505zbMath0738.17010OpenAlexW3191009814MaRDI QIDQ1180448

Ya. S. Sojbel'man, Sergei Levendorskii

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02099505

zbMATH Keywords

quantum groupshighest weight representation\(R\)-matrixvertex operatorquantized enveloping algebrasbasic representation

Mathematics Subject Classification ID

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

Related Items

The algebra \(U_q(\widehat{sl}_\infty)\) and applications ⋮ Extremal loop weight modules for \(\mathcal {U}_q(\widehat{sl}_{\infty})\) ⋮ Quantum \(\mathfrak{gl}_\infty\), infinite \(q\)-Schur algebras and their representations ⋮ Highest weight irreducible representations of the quantum algebra Uh(A∞)

Cites Work

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• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation