Kummer Subspaces of Tensor Products of Cyclic Algebras

Published 1 May 2014 in math.RA | (1405.0188v1)

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.

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Authors (1)

Adam Chapman

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