Truncated quantum Drinfeld Hecke algebras and Hochschild cohomology

DOI10.1007/s10468-018-9787-3zbMath1471.16038arXiv1711.03216OpenAlexW3103085083MaRDI QIDQ2000887

Christine Uhl, Lauren Grimley

Publication date: 1 July 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03216

zbMATH Keywords

Hochschild cohomologyskew group algebraPoincaré-Birkhoff-Witt deformations

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35)

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Cites Work

• Group actions on algebras and the graded Lie structure of Hochschild cohomology.
• Hochschild cohomology and quantum Drinfeld Hecke algebras
• Finite Hochschild cohomology without finite global dimension.
• Cohomology of twisted tensor products.
• Shephard-Todd-Chevalley theorem for skew polynomial rings.
• Degenerate affine Hecke algebras and Yangians
• The diamond lemma for ring theory
• Drinfeld orbifold algebras.
• Hochschild cohomology on Hopf Galois extensions
• Deformations of quantum symmetric algebras extended by groups.
• Drinfeld orbifold algebras for symmetric groups
• Twisted graded Hecke algebras.
• PBW deformations of quantum symmetric algebras and their group extensions
• Quantum Drinfeld Hecke Algebras
• Poincare-Birkhoff-Witt Theorems
• Hochschild cohomology of group extensions of quantum symmetric algebras
• Hochschild cohomology and graded Hecke algebras
• On the homology of graded algebras
• Quantum Drinfeld Orbifold Algebras
• Finite Unitary Reflection Groups