Cohomology rings for quantized enveloping algebras

DOI10.1090/S0002-9939-2013-11659-XzbMath1295.17013arXiv1010.4696OpenAlexW3102770670WikidataQ57451187 ScholiaQ57451187MaRDI QIDQ2846901

Christopher M. Drupieski

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4696

zbMATH Keywords

quantum groupcohomologydegreeenveloping algebraexterior algebrahomogeneous element

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

A characteristic map for compact quantum groups

Cites Work

• Cohomology for infinitesimal unipotent algebraic and quantum groups.
• Quantum groups at roots of 1
• An introduction to homological algebra
• Abelian and non-Abelian second cohomologies of quantized enveloping algebras
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• Duality and products in algebraic (co)homology theories.
• The integral cohomology ring of the symmetric space EVII
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• The integral cohomology ring of \(F_4/T\) and \(E_6/T\)
• Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators
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• Groupes et algébras de Lie
• Cohomology of Lie Algebras and Algebraic Groups
• Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
• Cohomology Theory of Lie Groups and Lie Algebras
• Topology of Lie groups
• Homology
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