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math.GT2001
Idempotents of the Hecke algebra become Schur functions in the skein of the annulus
Sascha G. Lukac
The Hecke algebra H_n contains well known idempotents E_λ which are indexed by Young diagrams with n cells. They were originally described by Gyoja. A skein theoretical description…
math.GT2001
The Homfly polynomial of the decorated Hopf link
Hugh R. Morton, Sascha G. Lukac
The main goal is to find the Homfly polynomial of a link formed by decorating each component of the Hopf link with the closure of a directly oriented tangle. Such decorations are s…