Dynamical Reflection Maps
Quantum Algebra
2023-08-30 v2
Abstract
In this paper, by making use of category theory, we construct dynamical reflection maps, solutions to a version of the reflection equation associated with suitable dynamical Yang-Baxter maps, set-theoretic solutions to the braid relation that is equivalent to a version of the quantum Yang-Baxter equation. Quiver-theoretic solutions to the reflection equation are also discussed.
Keywords
Cite
@article{arxiv.2209.10079,
title = {Dynamical Reflection Maps},
author = {Ryosuke Ashikaga and Youichi Shibukawa},
journal= {arXiv preprint arXiv:2209.10079},
year = {2023}
}
Comments
48 pages; v2:Some proofs are omitted or simplified. Some examples and remarks are omitted. Minor correction of text