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Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras
regular algebra Clifford algebra skew Clifford algebra twist by an automorphism
2012/4/17
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...
Cayley-Dickson and Clifford Algebras as Twisted Group Algebras
twisted group algebra sign function Cayley-Dickson algebra Clifford algebra quaternions octonions
2011/8/26
Abstract: The effect of some properties of twisted groups on the associated algebras, particularly Cayley-Dickson and Clifford algebras. It is conjectured that the Hilbert space of square-summable seq...
Pfaffian quartic surfaces and representations of Clifford algebras
Pfaffian quartic surfaces representations of Clifford algebras Algebraic Geometry Rings and Algebras
2011/8/29
Abstract: Given a nondegenerate ternary form $f=f(x_1,x_2,x_3)$ of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's correspond...
On representations of Clifford algebras of ternary cubic forms
Clifford algebras ternary cubic forms Algebraic Geometry
2011/8/29
Abstract: In this article, we provide an overview of a one-to-one correspondence between representations of the generalized Clifford algebra $C_f$ of a ternary cubic form $f$ and certain vector bundle...
Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now ...
Abstract: Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particula...
The Construction of Maximum Independent Set of Matrices via Clifford Algebras
Hurwitz Theorem Clifford algebras maximum independent set of matrices
2010/2/26
In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the rea...