Analysis of Uq(sl(m+1))-symmetries on quantum n-spaces

Abstract

In this paper, the module-algebra structures of $U_q(sl(m+1))$ on the quantum $n$-space $A_q(n)$ are studied. We characterize all module-algebra structures of $U_q(sl(m+1))$ on $A_q(2)$ and $A_q(3)$ when $m\ge 2$. The module-algebra structures of $U_q(sl(m+1))$ on $A_q(n)$ are also considered for any $n\ge 4$.

arXiv comment37 pages, 2 tables, amsart

References in corpus (1)

• Quantum Divided Power Algebra, q-Derivatives and Some New Quantum Groups

Cited by in corpus (1)

• Generic symmetries of the Laurent extension of quantum plane