On semi-infinite cohomology of finite-dimensional graded algebras

DOI10.1112/S0010437X09004382zbMath1193.17011arXiv0803.3252OpenAlexW3099510582MaRDI QIDQ3552183

Roman Bezrukavnikov, L. E. Positsel'skiĭ

Publication date: 13 April 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3252

zbMATH Keywords

derived categorysemi-infinite cohomologygraded algebrasmall quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50) Ring-theoretic aspects of quantum groups (16T20)

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Cites Work

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• Cohomology of quantum groups at roots of unity
• A proof of Feigin's conjecture
• Semi-infinite homological algebra
• Semiinfinite cohomology of quantum groups
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Quantum groups, the loop Grassmannian, and the Springer resolution
• Semi-infinite cohomology and Hecke algebras

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