Abstract
We study the tensor powers of the standard representation of the super-quantum algebra , focusing on the rings of its algebra endomorphisms, called centralizer algebras and denoted by . Their dimensions were conjectured by I Marin and E Wagner (Adv. Math. 248 (2013) 1332–1365). We prove this conjecture, describing the intertwiner spaces from a semisimple decomposition as sets consisting of certain paths in a planar lattice with integer coordinates. Using this model, we present a matrix unit basis for the centralizer algebra , by means of closed curves in the plane, which are included in the lattice with integer coordinates.
Citation
Cristina Ana-Maria Anghel. "A combinatorial description of the centralizer algebras connected to the Links–Gould invariant." Algebr. Geom. Topol. 21 (3) 1553 - 1593, 2021. https://doi.org/10.2140/agt.2021.21.1553
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