# Quantum supergroups VI. Roots of $1$

@article{Chung2018QuantumSV,
title={Quantum supergroups VI. Roots of \$1\$},
author={C. Chung and Thomas M. Sale and W. Wang},
journal={arXiv: Quantum Algebra},
year={2018}
}
• Published 2018
• Mathematics, Physics
• arXiv: Quantum Algebra
A quantum covering group is an algebra with parameters $q$ and $\pi$ subject to $\pi^2=1$ and it admits an integral form; it specializes to the usual quantum group at $\pi=1$ and to a quantum supergroup of anisotropic type at $\pi=-1$. In this paper we establish the Frobenius-Lusztig homomorphism and Lusztig-Steinberg tensor product theorem in the setting of quantum covering groups at roots of 1. The specialization of these constructions at $\pi=1$ recovers Lusztig's constructions for quantum… Expand
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