TY - JOUR

T1 - Diagram calculus for a type affine C Temperley–Lieb algebra, II

AU - Ernst, Dana C.

N1 - Publisher Copyright:
© 2018 Elsevier B.V.

PY - 2018/12

Y1 - 2018/12

N2 - In a previous paper, we presented an infinite dimensional associative diagram algebra that satisfies the relations of the generalized Temperley–Lieb algebra having a basis indexed by the fully commutative elements of the Coxeter group of type affine C. We also provided an explicit description of a basis for the diagram algebra. In this paper, we show that the diagrammatic representation is faithful and establish a correspondence between the basis diagrams and the so-called monomial basis of the Temperley–Lieb algebra of type affine C.

AB - In a previous paper, we presented an infinite dimensional associative diagram algebra that satisfies the relations of the generalized Temperley–Lieb algebra having a basis indexed by the fully commutative elements of the Coxeter group of type affine C. We also provided an explicit description of a basis for the diagram algebra. In this paper, we show that the diagrammatic representation is faithful and establish a correspondence between the basis diagrams and the so-called monomial basis of the Temperley–Lieb algebra of type affine C.

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U2 - 10.1016/j.jpaa.2018.02.008

DO - 10.1016/j.jpaa.2018.02.008

M3 - Article

AN - SCOPUS:85041942327

SN - 0022-4049

VL - 222

SP - 3795

EP - 3830

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 12

ER -