In this paper we discuss the highest weight kr-finite representations of the pair (r, kr) consisting of r, a real form of a complex basic Lie superalgebra of classical type ( ≠ A(n, n)), and the maximal compact subalgebra kr of r,0, together with their geometric global realizations. These representations occur, as in the ordinary setting, in the superspaces of sections of holomorphic super vector bundles on the associated Hermitian superspaces Gr/Kr.
HIGHEST WEIGHT HARISH-CHANDRA SUPERMODULES AND THEIR GEOMETRIC REALIZATIONS
Carmeli, C.;
2018-01-01
Abstract
In this paper we discuss the highest weight kr-finite representations of the pair (r, kr) consisting of r, a real form of a complex basic Lie superalgebra of classical type ( ≠ A(n, n)), and the maximal compact subalgebra kr of r,0, together with their geometric global realizations. These representations occur, as in the ordinary setting, in the superspaces of sections of holomorphic super vector bundles on the associated Hermitian superspaces Gr/Kr.
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