Hidden Symmetry of the Differential Calculus on the Quantum Matrix Space

Abstract

A standard bicovariant differential calculus on a quantum matrix space $\mathtt{Mat}(m,n{)}_q$ is considered. The principal result of this work is in observing that the $U_q\mathfrak{s}({\mathfrak{gl}}_m\times {\mathfrak{gl}}_n){)}_q$ is in fact a $U_q\mathfrak{sl}(m+n)$-module differential algebra.

5 pages

Cited by in corpus (3)

• Differential Calculi on Some Quantum Prehomogeneous Vector Spaces
• Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)
• Algebras of Variable Coefficient Quantized Differential Operators