A differential \({\mathcal U}\)-module algebra for \({\mathcal U}= \overline{\mathcal U}_{q}s\ell (2)\) at an even root of unity

DOI10.1007/s11232-009-0035-1zbMath1176.81119arXiv0809.0144OpenAlexW3104738920MaRDI QIDQ1034442

A. M. Semikhatov

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0144

zbMATH Keywords

quantum grouplogarithmic conformal field theoryKazhdan-Lusztig duality\(\mathcal U\)-module algebraparafermionic statistics

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) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Modular Lie (super)algebras (17B50)

Related Items (3)

A Heisenberg double addition to the logarithmic Kazhdan-Lusztig duality. ⋮ Quantum \(sl(2)\) action on a divided-power quantum plane at even roots of unity ⋮ Heisenberg Double ℋ(B*) as a Braided Commutative Yetter–Drinfeld Module Algebra Over the Drinfeld Double

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