On certain Hochschild cohomology groups for the small quantum group

DOI10.1016/j.jalgebra.2022.04.034OpenAlexW3154709260MaRDI QIDQ2161141

Rik Voorhaar, Nicolas Hemelsoet

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05113

zbMATH Keywords

Hochschild cohomologyVerma modulecoherent sheafprincipal blocksingular blockBGG resolutionsmall quantum groupSpringer resolutionflag varietiy

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology of Lie (super)algebras (17B56) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Uses Software

• SageMath
• Python
• bgg-cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Cohomology of quantum groups at roots of unity
• Mapping class group actions on quantum doubles
• A computer algorithm for the BGG resolution
• Representations of quantum algebras
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Introduction to quantum groups

This page was built for publication: On certain Hochschild cohomology groups for the small quantum group