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Quantum walled Brauer algebra: commuting families, Baxterization, and representations | | A M Semikhatov
; I Yu Tipunin
; | | Date: |
22 Dec 2015 | | Abstract: | For the quantum walled Brauer algebra, we construct its Specht modules and
(for generic parameters of the algebra) seminormal modules. The latter
construction yields the spectrum of a family of commuting Jucys--Murphy
elements. We also propose a Baxterization prescription; it involves
representing the quantum walled Brauer algebra in terms of morphisms in a
braided monoidal category and introducing parameters into these morphisms,
which allows constructing a "universal transfer matrix" that generates
commuting elements of the algebra. | | Source: | arXiv, 1512.6994 | | Services: | Forum | Review | PDF | Favorites | |
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