| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Yang-Baxter operators in symmetric categories | J. A. Guccione
; J. J. Guccione
; L. Vendramin
; | Date: |
19 Oct 2016 | Abstract: | We introduce non-degenerate solutions of the Yang-Baxter equation in the
setting of symmetric monoidal categories. Our theory includes non-degenerate
set-theoretical solutions as basic examples. However, infinite families of
non-degenerate solutions (that are not of set-theoretical type) appear. As in
the classical theory of Etingof, Schedler and Soloviev, non-degenerate
solutions are classified in terms of invertible 1-cocycles. Braces and matched
pairs of cocommutative Hopf algebras (or braiding operators) are also
generalized to the context of symmetric monoidal categories and turn out to be
equivalent to invertible 1-cocycles. | Source: | arXiv, 1610.5999 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |