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Highest weight Harish-Chandra supermodul...
Carmeli, C....
Highest weight Harish-Chandra supermodules and their geometric realizations by Carmeli, C. ( Author )
Australian National University
29-08-2023
In this paper we discuss the highest weight $\frak k_r$-finite representations of the pair $(\frak g_r,\frak k_r)$ consisting of $\frak g_r$, a real form of a complex basic Lie superalgebra of classical type $\frak g$ (${\frak g}\neq A(n,n)$), and the maximal compact subalgebra $\frak k_r$ of $\frak g_{r,0}$, 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 $G_r/K_r$.
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Article
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English
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MYR 0.01
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http://arxiv.org/abs/1511.01420
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