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- W1649277520 abstract "This article was submitted to a volume under preparation, with Benson Farb as the editor, on the topic of open problems in surface mapping class groups. The braid group B_n is the mapping class group of an n-times punctured disk. The Iwahori-Hecke algebra H_n is a quotient of the braid group algebra of B_n by a quadratic relation in the standard generators. We discuss how to use H_n to define the Jones polynomial of a knot or link. We also summarize the classification of the irreducible representations of H_n. We conclude with some directions for future research that would apply mapping class group techniques to questions related to H_n." @default.
- W1649277520 created "2016-06-24" @default.
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- W1649277520 date "2006-01-01" @default.
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- W1649277520 title "Braid groups and Iwahori-Hecke algebras" @default.
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- W1649277520 doi "https://doi.org/10.1090/pspum/074/2264547" @default.
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