Kummer subspaces of Central Simple Algebras

Author(s)
Nhan
Nguyen
*,
University of Montana
Talk Abstract
Let $F$ be a field containing a primitive $d^{th}$ root of unity $\rho$ and char$(F)\not|d$. Let $A$ be the tensor product of $n$ cyclic $F$-algebras. An element $v\in A$ is Kummer if $v^{d}\in F$. A subspace of $A$ is Kummer if every element is Kummer. Kummer spaces have been used to bound the symbol length of a central simple algebras. In this talk we will discuss some open problems concerning Kummer subspaces
Talk Subject
Algebra
Time Slot
2016-02-04T15:00:00
Room Number
STAG 261