A Heisenberg double addition to the logarithmic Kazhdan-Lusztig duality.

DOI10.1007/s11005-010-0373-9zbMath1222.16023arXiv0905.2215OpenAlexW1971805749MaRDI QIDQ965882

A. M. Semikhatov

Publication date: 26 April 2010

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

Full work available at URL: https://arxiv.org/abs/0905.2215

zbMATH Keywords

quantum groupssmash productsroots of unityDrinfeld doublesmodule algebrasHeisenberg doublesKazhdan-Lusztig dualitylogarithmic conformal field theories

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) Smash products of general Hopf actions (16S40) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

Related Items

HEISENBERG DOUBLE VERSUS DEFORMED DERIVATIVES, 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, Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules

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