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Published in:
Link Invariants from the Yokonuma–Hecke Algebras Read chapter Read first chapter

2017 | OriginalPaper | Chapter

3. Representation Theory of Framisations of Knot Algebras

Author : Maria Chlouveraki

Published in: Algebraic Modeling of Topological and Computational Structures and Applications

Publisher: Springer International Publishing

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Abstract

We study the algebraic structure and the representation theory of the Yokonuma–Hecke algebra of type A, its generalisations, the affine and cyclotomic Yokonuma–Hecke algebras, and its Temperley–Lieb type quotients, the Yokonuma–Temperley–Lieb algebra, the Framisation of the Temperley–Lieb algebra and the Complex Reflection Temperley–Lieb algebra.

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previous chapter A Survey on Temperley–Lieb-type Quotients from the Yokonuma–Hecke Algebras
next chapter Invariants for Links from Classical and Affine Yokonuma–Hecke Algebras
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Metadata
Title
Representation Theory of Framisations of Knot Algebras
Author
Maria Chlouveraki
Copyright Year
2017
Book
Algebraic Modeling of Topological and Computational Structures and Applications

Print ISBN: 978-3-319-68102-3

Electronic ISBN: 978-3-319-68103-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-68103-0_3

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