Gordan-Capelli series in superalgebras.
We derive two Gordan-Capelli series for the supersymmetric algebra of the tensor product of two [unk](2)-graded [unk]-vector spaces U and V, being [unk] a field of characteristic zero. These expansions yield complete decompositions of the supersymmetric algebra regarded as a pl(U)- and a pl(V)- module, where pl(U) and pl(V) are the general linear Lie superalgebras of U and V, respectively.
Brini
A
A
Dipartimento di Matematica, Università di Bari, 70125 Bari, Italy.
Palareti
A
A
Teolis
A G
AG