4 citations · 6 across the 7 of their papers we have counts for
4 papers · 1 filter
Kummer Spaces in Cyclic Algebras of Prime Degree
Adam Chapman, David J. Grynkiewicz, Eliyahu Matzri +2
We classify the monomial Kummer subspaces of division cyclic algebras of prime degree , showing that every such space is standard, and in particular the dimension is no greater…
Kummer Elements in Cyclic Algebras of Degree 5
Adam Chapman
We construct a graph of Kummer elements in a given cyclic algebra of prime degree and study its properties. In case of degree 5, we provide sufficient conditions for two elements t…
On the generalized Clifford algebra of a monic polynomial
Adam Chapman, Jung-Miao Kuo
In this paper we study the generalized Clifford algebra defined by Pappacena of a monic (with respect to the first variable) homogeneous polynomial $Φ(Z,X_1,\dots,X_n)=Z^d-\sum_{k=…
-Central Subspaces of Central Simple Algebras
Adam Chapman
We study central simple algebras in various ways, focusing on the role of -central subspaces. The first part of my thesis is dedicated to the study of Clifford algebras. The sta…