december 2023 Braided shuffle algebras and Lyndon words
Bogdan Ion
Bull. Belg. Math. Soc. Simon Stevin 30(5): 601-617 (december 2023). DOI: 10.36045/j.bbms.230206

Abstract

We describe the structure of the braided shuffle algebra associated to a symmetrically braided vector space of diagonal type, as a braided symmetric algebra generated by a precise set of words (described in terms of Lyndon words) associated to the braiding. The description of the set of generating words depends only on a super-vector space structure canonically associated to the original symmetrically braided vector space.

Citation

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Bogdan Ion. "Braided shuffle algebras and Lyndon words." Bull. Belg. Math. Soc. Simon Stevin 30 (5) 601 - 617, december 2023. https://doi.org/10.36045/j.bbms.230206

Information

Published: december 2023
First available in Project Euclid: 13 February 2024

Digital Object Identifier: 10.36045/j.bbms.230206

Subjects:
Primary: 16T30 , 68R15

Keywords: Braided Hopf algebra , braided shuffle algebra , braided symmetric algebra , Lyndon word

Rights: Copyright © 2023 The Belgian Mathematical Society

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Vol.30 • No. 5 • december 2023
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