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- W4300207145 abstract "We study cohomological induction for a pair $(frak g,frak k)$, $frak g$ being an infinite dimensional locally reductive Lie algebra and $frak k subsetfrak g$ being of the form $frak k_0 + C_gg(frak k_0)$, where $frak k_0subsetfrak g$ is a finite dimensional reductive in $frak g$ subalgebra and $C_{gg} (frak k_0)$ is the centralizer of $frak k_0$ in $frak g$. We prove a general non-vanishing and $frak k$-finiteness theorem for the output. This yields in particular simple $(frak g,frak k)$-modules of finite type over $frak k$ which are analogs of the fundamental series of generalized Harish-Chandra modules constructed in cite{PZ1} and cite{PZ2}. We study explicit versions of the construction when $frak g$ is a root-reductive or diagonal locally simple Lie algebra." @default.
- W4300207145 created "2022-10-03" @default.
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- W4300207145 date "2007-04-30" @default.
- W4300207145 modified "2023-10-14" @default.
- W4300207145 title "A construction of generalized Harish-Chandra modules for locally reductive Lie algebras" @default.
- W4300207145 doi "https://doi.org/10.48550/arxiv.0704.3980" @default.
- W4300207145 hasPublicationYear "2007" @default.
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