The FRT-construction via quantum affine algebras and smash products
نویسندگان
چکیده
منابع مشابه
QUANTUM AFFINE gln VIA HECKE ALGEBRAS
The quantum loop algebra of gln is the affine analogue of quantum gln. In the seminal work [1], Beilinson–Lusztig–MacPherson gave a beautiful realisation for quantum gln via a geometric setting of quantum Schur algebras. Since then, generalising this work to the affine case and other cases (see, e.g., [9]) attracted much attention. For example, in [13, 21, 15, 20], affine quantum Schur algebras...
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Suppose that M is a finite-dimensional vector space over a field k and that R : M ⊗M −→M ⊗M is solution to the quantum Yang–Baxter equation(QYBE). The FRT construction [3] is a bialgebra A(R) associated with R in a natural way. There is a quotient of the FRT construction, referred to as the reduced FRT construction and denoted by Ã(R), which seems rather useful in computation [11]. The bialgebr...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.12.006