Quantum walled Brauer algebra: commuting families, Baxterization, and representations

Autor:	Semikhatov, A M, Tipunin, I Yu
Rok vydání:	2015
Předmět:	Mathematics - Quantum Algebra
Zdroj:	Journal of Physics A: Mathematical and Theoretical 50 (2017) 065202
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/50/6/065202
Popis:	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 commuting family of 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. Comment: V3: 54pp., minor changes and corrections (mainly suggested by the referee); references updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.06994 Zobrazit plný text záznamu View this record from Arxiv