16 citations · 99 across the 24 of their papers we have counts for
9 papers · 1 filter
Hidden quartic symmetry in N=2 supersymmetry
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
It is shown that for N=2 supersymmetry a hidden symmetry arises from the hybrid structure of a quartic algebra. The implications for invariant Lagrangians and multiplets are explor…
Commutativity of missing label operators in terms of Berezin brackets
Luis J. Boya, R. Campoamor-Stursberg
We obtain a criterion on the commutativity of polynomials in the enveloping algebra of a Lie algebra in terms of an involution condition with respect to the Berezin bracket. As an…
Color Lie algebras and Lie algebras of order F
R. Campoamor-Stursberg, M. Rausch de Traubenberg
The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored…
Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
R. Campoamor-Stursberg, S. G. Low
Given a semidirect product of semisimple Lie algebras and solvable algebras , we construct polynomial operators in the envelo…
Obtainment of internal labelling operators as broken Casimir operators by means of contractions related to reduction chains in semisimple Lie algebras
R. Campoamor-Stursberg
We show that the Inönü-Wigner contraction naturally associated to a reduction chain of semisimple Lie algebras induces a decomposition of the Ca…
Invariants of nine dimensional real Lie algebras with nontrivial Levi decomposition
R. Campoamor-Stursberg
The generalized Casimir invariants of real indecomposable Lie algebras admitting a nontrivial Levi decomposition are determined.