Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians

DOI10.1215/S0012-7094-97-09001-3zbMath0905.16018arXivhep-th/9311095MaRDI QIDQ1387858

Anthony Sudbery, Volodimir Lyubashenko

Publication date: 3 August 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9311095

zbMATH Keywords

differential Hopf algebrasKoszul complexesmatrix elementsquantum supergroupscoquasitriangular Hopf algebrasBeriziniansfirst-order differential calculusgraded differential complexesHecke matricesquantum superdeterminantsuniversally coacting bialgebras

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) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Super structures (17C70)

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