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 -