Homology, Homotopy and Applications
Volume 23 (2021)
Homology of quantum linear groups
Pages: 9 – 31
For every $n \geqslant 1$, 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.
quantum groups, Hochschild homology
2010 Mathematics Subject Classification
16E40, 17B37, 20G42
Copyright © 2021, A. Kaygun and S. Sütlü. Permission to copy for private use granted.
Received 5 March 2020
Received revised 31 August 2020
Accepted 29 September 2020
Published 24 March 2021