An analog of Kostant’s theorem for the cohomology of quantum groups

DOI10.1090/S0002-9939-09-10039-4zbMath1197.17009arXiv0809.0838MaRDI QIDQ3402160

University of Georgia VIGRE Algebra Group

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0809.0838

zbMATH Keywords

Euler characteristiclinkage principlequantum parabolic category \(\mathcal O\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10)

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A conjectural extension of the Kazhdan-Lusztig equivalence, A basis theorem for the affine Kauffman category and its cyclotomic quotients, On factorization algebras arising in the quantum geometric Langlands theory

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