. R A ] 2 8 A ug 2 00 4 DESCRIPTION OF THE CENTER OF THE AFFINE TEMPERLEY - LIEB ALGEBRA OF TYPE Ã
نویسنده
چکیده
Construction of the diagrammatic version of the affine Temperley-Lieb algebra of type A N as a subring of matrices over the Laurent polynomials is given. We move towards geometrical understanding of cellular structure of the Temperley-Lieb algebra. We represent its center as a coordinate ring of the certain affine algebraic variety and describe this variety constructing its desingularization.
منابع مشابه
M ay 2 00 9 A diagrammatic representation of an affine C Temperley –
In this thesis, I present an associative diagram algebra that is a faithful representation of a particular Temperley–Lieb algebra of type affine C, which has a basis indexed by the fully commutative elements of the Coxeter group of the same type. The Coxeter group of type affine C contains an infinite number of fully commutative elements, and so the corresponding Temperley–Lieb algebra is of in...
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