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.
I.; Van der Jeugt, J., A class of representations of theZ 2 ˆZ 2-graded special linear Lie superalgebra and quantum statistics
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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.