Deformation of towers of algebras and quantized intersection cardinality functions

DOI10.1023/A:1007474307417zbMath0918.16006OpenAlexW95201813MaRDI QIDQ1386531

Murray Gerstenhaber

Publication date: 5 August 1999

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007474307417

zbMATH Keywords

group algebrassymmetric groupsHochschild cohomologydeformationsquantizationjump deformationsinductive limitsquantized intersection cardinality functionsquantum Yang-Baxter matricesrepresentation theory of Hecke algebrastowers of separable algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Deformations of associative rings (16S80) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

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Hochschild cohomology of differential operators in positive characteristic

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