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A combinatorial description of the centralizer algebras connected to the Links-Gould Invariant. (arXiv:1712.04878v1 [math.QA])

来源于:arXiv
In this paper we study the tensor powers of a $4$-dimensional representation of the quantum super-algebra $U_q(sl(2|1)$, focusing on the rings of its algebra endomorphisms so called centralizer algebras, denoted by $LG_n$. Their dimensions were conjectured by I. Marin and E. Wagner \cite{MW}. We will prove this conjecture, describing the intertwiners spaces from a semi-simple decomposition as sets consisting in certain paths in a planar lattice with integer coordinates. 查看全文>>