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Quantum group \(U_q(A_\ell)\) singular vectors in Poincaré-Birkhoff-Witt basis

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Publication:1819179
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DOI10.1023/A:1007688525636zbMath0953.17006MaRDI QIDQ1819179

M. El Falaki, Vladimir K. Dobrev

Publication date: 26 January 2001

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


zbMATH Keywords

quantum groupVerma modulesPoincaré-Birkhoff-Witt basissingular vectorsimple root vector


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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Semisimple Lie groups and their representations (22E46)


Related Items (4)

Differential-operator representations of Weyl group and singular vectors in Verma modules ⋮ Shapovalov elements of classical and quantum groups ⋮ Witt vectors. Part 1 ⋮ Differential equations and singular vectors in Verma modules over \(\mathfrak{sl}(n, \mathbb{C})\)







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