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- W4301520123 abstract "We give a combinatorial description of a new diagram algebra, the partial Temperley--Lieb algebra, arising as the generic centralizer algebra $mathrm{End}_{mathbf{U}_q(mathfrak{gl}_2)}(V^{otimes k})$, where $V = V(0) oplus V(1)$ is the direct sum of the trivial and natural module for the quantized enveloping algebra $mathbf{U}_q(mathfrak{gl}_2)$. It is a proper subalgebra of the Motzkin algebra (the $mathbf{U}_q(mathfrak{sl}_2)$-centralizer) of Benkart and Halverson. We prove a version of Schur--Weyl duality for the new algebras, and describe their generic representation theory." @default.
- W4301520123 created "2022-10-05" @default.
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- W4301520123 date "2022-08-08" @default.
- W4301520123 modified "2023-09-30" @default.
- W4301520123 title "The partial Temperley-Lieb algebra and its representations" @default.
- W4301520123 doi "https://doi.org/10.48550/arxiv.2208.04296" @default.
- W4301520123 hasPublicationYear "2022" @default.
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