78 citations · 165 across the 30 of their papers we have counts for
6 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…
Kummer Subspaces of Tensor Products of Cyclic Algebras
Adam Chapman
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 gene…
Total linkage of quaternion algebras and Pfister forms in characteristic two
Adam Chapman, Andrew Dolphin, Ahmed Laghribi
We study the subfields of quaternion algebras that are quadratic extensions of their center in characteristic 2. We provide examples of the following: two non-isomorphic quaternion…