The Green Rings of Taft algebras
Representation Theory
2012-10-17 v3 Quantum Algebra
Abstract
We compute the Green ring of the Taft algebra , where is a positive integer greater than 1, and is an -th root of unity. It turns out that the Green ring of the Taft algebra is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for are given.
Keywords
Cite
@article{arxiv.1111.1837,
title = {The Green Rings of Taft algebras},
author = {Huixiang Chen and Fred Van Oystaeyen and Yinhuo Zhang},
journal= {arXiv preprint arXiv:1111.1837},
year = {2012}
}
Comments
To appear in Proc. AMS