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

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arxiv 1305.6582 v1 pith:WBLVONR6 submitted 2013-05-28 math.QA math-phmath.MPmath.RA

Steven Duplij , Yanyong Hong , Fang Li This is my paper
classification math.QAmath-phmath.MPmath.RA
keywords module-algebrastructuresquantumanalysischaracterizeconsideredn-spacesspace
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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 $m\geq 2$. The module-algebra structures of $U_q(sl(m+1))$ on $A_q(n)$ are also considered for any $n\geq 4$.

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