Kummer Subspaces of Tensor Products of Cyclic Algebras
Rings and Algebras
2014-05-02 v1
Abstract
We discuss the Kummer subspaces of tensor products of cyclic algebras, focusing mainly on the case of cyclic algebras of degree 3. We present a family of maximal spaces in the general case, classify all the monomial spaces in the case of tensor products of cyclic algebras of degree 3 using graph theory, and provide an upper bound for the dimension in the generic tensor product of cyclic algebras of degree 3.
Keywords
Cite
@article{arxiv.1405.0188,
title = {Kummer Subspaces of Tensor Products of Cyclic Algebras},
author = {Adam Chapman},
journal= {arXiv preprint arXiv:1405.0188},
year = {2014}
}
Comments
8 pages