38 citations · 38 across the 1 of their papers we have counts for
12 papers
New branching rules induced by plethysm
B. Fauser, P. D. Jarvis, R. C. King +1
We derive group branching laws for formal characters of subgroups of GL(n) leaving invariant an arbitrary tensor of Young symmetry type where is an integer part…
Clifford Hopf gebra for two-dimensional space
Bertfried Fauser, Zbigniew Oziewicz
A Clifford algebra Cl(V,η\in V^*\otimes V^*) jointly with a Clifford cogebra Cl(V,ξ\in V\otimes V) is said to be a Clifford biconvolution Cl(η,ξ). We show that a Clifford biconvolu…
Quantum Clifford Hopf Gebra for Quantum Field Theory
Bertfried Fauser
We give arguments for the necessity to employ Quantum Clifford Hopf Gebras in quantum field theory. The role of the antipode is examined, Feynman diagrams are re-interpreted as tan…
Regularization of Non-Linear Spinor Field Models by Discrete Symmetries
Bertfried Fauser, Heinz Dehnen
We generalize a regularization method of Stumpf 1984 in the case of non-linear spinor field models to fourth order theories and to non-scalar interactions. The involved discrete sy…
On the Decomposition of Clifford Algebras of Arbitrary Bilinear Form
Bertfried Fauser, Rafal Ablamowicz
Clifford algebras are naturally associated with quadratic forms. These algebras are Z_2-graded by construction. However, only a Z_n-gradation induced by a choice of a basis, or eve…
Hecke Algebra Representations in Ideals Generated by q-Young Clifford Idempotents
Rafal Ablamowicz, Bertfried Fauser
It is a well known fact from the group theory that irreducible tensor representations of classical groups are suitably characterized by irreducible representations of the symmetric…