Classification of quantum spinor fields according to quantum bilinear covariants is
introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the …

CLIFFORD performs various computations in Graßmann and Clifford algebras. It can
compute with quaternions, octonions, and matrices with entries in C ℓ (B)-the Clifford …

A particular orthogonal map on a finite-dimensional real quadratic vector space (V, Q) with a
non-degenerate quadratic form Q of any signature (p, q) is considered. It can be viewed as a …

The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in
terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl …

A combinatorial formula of Rota and Stein is taken to perform Wick reordering in quantum
field theory. Wick's theorem becomes a Hopf algebraic identity called Cliffordization. The …

An analysis of symmetric function theory is given from the perspective of the underlying Hopf
and bi-algebraic structures. These are presented explicitly in terms of standard symmetric …

Quantum Clifford Algebras (QCA), ie Clifford Hopf gebras based on bilinear forms of
arbitrary symmetry, are treated in a broad sense. Five alternative constructions of QCAs are …

We propose a geometric method to parameterize inequivalent vacua by dynamical data.
Introducing quantum Clifford algebras with arbitrary bilinear forms we distinguish isomorphic …

Abstract Let Script C ℓ (V, g) be the real Clifford algebra associated with the real vector
space V, endowed with a nondegenerate metric g. In this paper, we study the class of Bbb Z …

This is part one of a series of four methodological papers on (bi) quaternions and their use in
theoretical and mathematical physics: 1-Alphabetical bibliography, 2-Analytical …