Quantum Drinfeld Hecke Algebras

DOI10.4153/CJM-2013-012-2zbMath1342.16024arXiv1111.4975MaRDI QIDQ2876532

Viktor Levandovskyy, Anne V. Shepler

Publication date: 19 August 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4975

zbMATH Keywords

skew polynomial ringsHochschild cohomologynoncommutative Gröbner basessymplectic reflection algebrasgraded Hecke algebrasquantum planesquantum polynomial ringsPBW conditions

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary and skew polynomial rings and semigroup rings (16S36) Deformations of associative rings (16S80) Ring-theoretic aspects of quantum groups (16T20)

Related Items (8)

Color Lie rings and PBW deformations of skew group algebras ⋮ Cleft extensions of Koszul twisted Calabi-Yau algebras ⋮ Deformation cohomology for cyclic groups acting on polynomial rings ⋮ Deformations of quantum symmetric algebras extended by groups. ⋮ Truncated quantum Drinfeld Hecke algebras and Hochschild cohomology ⋮ Hochschild cohomology and quantum Drinfeld Hecke algebras ⋮ Quantum Drinfeld Orbifold Algebras ⋮ PBW deformations of skew group algebras in positive characteristic.

Uses Software

• Magma
• SINGULAR
• BERGMAN
• GBNP
• NCGB

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