Establishes generalized Howe dualities and fundamental theorems of invariant theory for Γ-graded gl(V(Γ,ω)), classifies unitarisable modules for two compact *-structures, constructs a Hopf (Γ,ω)-algebra, and realizes simple tensor modules via a Borel-Weil analogue.
Lukierski, L; Rittenberg, V., Color-de Sitter and color-conformal superalgebrasPhys
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Invariants and representations of the $\Gamma$-graded general linear Lie $\omega$-algebras
Establishes generalized Howe dualities and fundamental theorems of invariant theory for Γ-graded gl(V(Γ,ω)), classifies unitarisable modules for two compact *-structures, constructs a Hopf (Γ,ω)-algebra, and realizes simple tensor modules via a Borel-Weil analogue.