Publication: Homology of quantum linear groups
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Publisher
International Press of Boston
Type
Abstract
For every $n\geq 1$, we calculate the Hochschild homology of the quantum monoids $M_q(n)$, and the quantum groups $GL_q(n)$ and $SL_q(n)$ with coefficients in a 1-dimensional module coming from a modular pair in involution.
16 pages, 3 figures
16 pages, 3 figures
Description
Journal or Series
Homology, Homotopy and Applications
ISSN
1532-0073
ISBN
Rights
OPEN
Keywords
Ring, T99, 16e40, quantum groups, Hochschild homology, Group structures and generalizations on infinite-dimensional manifolds, Quantum groups (quantized enveloping algebras) and related deformations, K-Theory and Homology (math.KT), Quantum groups, Mathematics - Rings and Algebras, Hopf algebra, Cyclic cohomology, Betti number, Hochschild, Rings and Algebras (math.RA), (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), \(K\)-theory and homology, cyclic homology and cohomology, Quantum groups (quantized function algebras) and their representations, modular pair in involution