Homology of quantum linear groups
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.09747
- arXiv:
- arXiv:1910.09747
- Bibcode:
- 2019arXiv191009747K
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Quantum Algebra;
- Mathematics - Rings and Algebras;
- 16T99;
- 16E40
- E-Print:
- 16 pages, 3 figures