24 citations · 67 across the 8 of their papers we have counts for
6 papers · 1 filter
Kinematical superalgebras and Lie algebras of order 3
R. Campoamor-Stursberg, M. Rausch de Traubenberg
We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order three. All these algebras are related through generalised Ino…
Cubic extentions of the Poincaré algebra
M. Rausch de Traubenberg
A systematic study of non-trivial cubic extensions of the four-dimensional Poincaré algebra is undertaken. Explicit examples are given with various techniques (Young tableau, chara…
Clifford Algebras in Physics
M. Rausch de Traubenberg
We study briefly some properties of real Clifford algebras and identify them as matrix algebras. We then show that the representation space on which Clifford algebras act are spino…
Non-trivial extension of the Poincaré algebra for antisymmetric gauge fields
G. Moultaka, M. Rausch de Traubenberg, A. Tanasa
We investigate a non-trivial extension of the dimensional Poincaré algebra. Matrix representations are obtained. The bosonic multiplets contain antisymmetric tensor fields. It…
Lie algebras of order F and extensions of the Poincaré algebra
M. Rausch de Traubenberg
F-Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). We give finite dimensional examples of F-Lie algebras obtained by an inductive process…
Clifford Algebras, Supersymmetry and symmetries: Applications in Field Theory
M. Rausch de Traubenberg
After a short introduction on Clifford algebras of polynomials, we give a general method of constructing a matrix representation. This process of linearization leads naturally to t…