Titlebook: Braid Groups; Christian Kassel,Vladimir Turaev Textbook 2008 Springer-Verlag New York 2008 Burau.Garside.Homotopy.Iwahori-Hecke.Markov.Per

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Fibrations and Homotopy Sequences,We recall several basic notions from the theory of fibrations needed in the main text. For details, the reader is referred, for instance, to [FR84, Chap. 5].

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,The Birman–Murakami–Wenzl Algebras,We briefly discuss a family of finite-dimensional quotients of the braid group algebras due to J. Murakami, J. Birman, and H. Wenzl. We also outline an interpretation of the Lawrence—Krammer—Bigelow representation of Section 3.5 in terms of representations of these algebras.

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Left Self-Distributive Sets,We give here a brief introduction to so-called left self-distributive sets, which are closely related to braid groups.

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https://doi.org/10.1007/978-0-387-68548-9Burau; Garside; Homotopy; Iwahori-Hecke; Markov; Permutation; Representation theory; Theoretical physics; al

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978-1-4419-2220-5Springer-Verlag New York 2008

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