17 citations · 42 across the 10 of their papers we have counts for
11 papers
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…
Associating Geometry to the Lie Superalgebra and to the Color Lie Algebra
Susan J. Sierra, Špela Špenko, Michaela Vancliff +2
In the 1990s, in work of Le Bruyn and Smith and in work of Le Bruyn and Van den Bergh, it was proved that point modules and line modules over the homogenization of the universal en…
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.…
A geometric invariant of -dimensional subspaces of matrices
Alex Chirvasitu, S. Paul Smith, Michaela Vancliff
Let be an algebraically closed field and the Grassmannian of 2-planes in . We associate to each 6-dimensional subspace of the space of 4x4 matrices ov…