15 citations · 18 across the 5 of their papers we have counts for
6 papers · 1 filter
Point modules over regular graded skew Clifford algebras
Michaela Vancliff, Padmini Veerapen
Results of Vancliff, Van Rompay and Willaert in 1998 prove that point modules over a regular graded Clifford algebra (GCA) are determined by (commutative) quadrics of rank at most…
Generalizing the notion of rank to noncommutative quadratic forms
Michaela Vancliff, Padmini Veerapen
In 2010, Cassidy and Vancliff extended the notion of a quadratic form on n generators to the noncommutative setting. In this article, we suggest a notion of rank for such noncommut…
Skew Clifford Algebras
Thomas Cassidy, Michaela Vancliff
We introduce a generalization, called a skew Clifford algebra, of a Clifford algebra, and relate these new algebras to the notion of graded skew Clifford algebra that was defined i…
The One-Dimensional Line Scheme of a Family of Quadratic Quantum s
D. Tomlin, M. Vancliff
The attempted classification of regular algebras of global dimension four, so-called quantum s, has been a driving force for modern research in noncommutative algebra.…
The Interplay of Algebra and Geometry in the Setting of Regular Algebras
Michaela Vancliff
This article is based on a talk given by the author at MSRI in the workshop "Connections for Women" in January 2013, while being a part of the program "Noncommutative Algebraic Geo…
The One-Dimensional Line Scheme of a Certain Family of Quantum s
Richard G. Chandler, Michaela Vancliff
A quantum is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well…