Regular Graded Skew Clifford Algebras that are Twists of Regular Graded Clifford Algebras
Presenter
January 25, 2013
Keywords:
- noncommutative algebraic geometry
- deformation quantization
- derived categories
- D-modules
- resolution of singularities
- graded algebras
- twisted algebras
- Clifford algebras
- quadratic forms
MSC:
- 13D09
- 13D10
- 13Dxx
- 13-xx
- 14Fxx
- 14F05
- 14F10
- 14A22
Abstract
We prove that if A is a regular graded skew Clifford algebra and is a twist of a regular graded Clifford algebra B by an automorphism, then the subalgebra of A generated by a certain normalizing sequence of homogeneous degree-two elements is a twist of a polynomial ring by an automorphism, and is a skew polynomial ring. We also present an example that demonstrates that this can fail when A is not a twist of B.