Let ( W , S ) be a Coxeter system of affine type D e , and let TL(W) the corresponding generalized Temperley-Lieb algebra. In this extended abstract we define an infinite dimensional associative algebra made of decorated diagrams which is isomorphic to TL(W). Moreover, we describe an explicit basis for such an algebra of diagrams which is in bijective correspondence with the classical monomial basis of TL(W), indexed by the fully commutative elements of W .
Diagram Calculus for the Affine Temperley–Lieb Algebra of Type D
Fatabbi G.Membro del Collaboration Group
;
2024
Abstract
Let ( W , S ) be a Coxeter system of affine type D e , and let TL(W) the corresponding generalized Temperley-Lieb algebra. In this extended abstract we define an infinite dimensional associative algebra made of decorated diagrams which is isomorphic to TL(W). Moreover, we describe an explicit basis for such an algebra of diagrams which is in bijective correspondence with the classical monomial basis of TL(W), indexed by the fully commutative elements of W .File in questo prodotto:
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