A combinatorial description of the centralizer algebras connected to the Links–Gould invariant
نویسندگان
چکیده
In this paper we study the tensor powers of standard representation quantum super-algebra $U_q(sl(2|1)$, focusing on rings its algebra endomorphisms, called centraliser algebras and denoted by $LG_n$. Their dimensions were conjectured I. Marin E. Wagner \cite{MW}. We prove conjecture, describing intertwiner spaces from a semi-simple decomposition as sets consisting certain paths in planar lattice with integer coordinates. Using model, present matrix unit basis for $LG_n$, means closed curves plane, which are included
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2021
ISSN: ['1472-2739', '1472-2747']
DOI: https://doi.org/10.2140/agt.2021.21.1553