CURRENT ALGEBRA FUNCTORS AND EXTENSIONS

DOI10.1142/S0129055X13500128zbMath1275.81051arXiv1211.0487OpenAlexW2143584066MaRDI QIDQ2853433

Anton Yu. Alekseev, Pavol Ševera, Cornelia Vizman

Publication date: 21 October 2013

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

Full work available at URL: https://arxiv.org/abs/1211.0487

zbMATH Keywords

current algebrasigma modeldifferential graded Lie algebraLie algebra extension

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Cohomology of Lie (super)algebras (17B56)

Cites Work

• From Poisson algebras to Gerstenhaber algebras
• Equivariant cohomology and current algebras
• Lie Groups of Bundle Automorphisms and Their Extensions

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