Opening book details…
Can I read On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation on EtoBox?
On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation by Fabienne Chouraqui is a Mathematics article available to read on EtoBox.
What is On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation about?
There exists a multiplicative homomorphism from the braid group B k+1 on k + 1 strands to the Temperley-Lieb algebra TL k . Moreover, the homomorphic images in TL k of the simple elements form a basis for the vector space underlying TL k . In analogy with the case of B k , there exists a multiplicative homomorphism from the structure group G(X, r) of a non-degenerate, involutive set-theoretic solution (X, r), with | X |= n, to an algebra, which extends to a homomorphism of algebras. We construct a finite basis of the underlying vector space of the image of G(X, r) using the Garsideness properties of G(X, r).
Who reads On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Fabienne Chouraqui
- Publisher
- Informa UK Limited
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)