Hyperoctahedral Schur Category and Hyperoctahedral Web Category
Representation Theory
2024-02-12 v1 Quantum Algebra
Abstract
We extend the Schur algebra and the polynomial web category of the symmetric group to the hyperoctahedral group. In particular, we define the hyperoctahedral web category diagrammatically by generators and relations, and prove that it is equivalent to the hyperoctahedral Schur category.
Keywords
Cite
@article{arxiv.2402.06405,
title = {Hyperoctahedral Schur Category and Hyperoctahedral Web Category},
author = {Razzi Masroor},
journal= {arXiv preprint arXiv:2402.06405},
year = {2024}
}
Comments
28 pages, many figures, comments welcome