I. Penkov

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20022007

most citedBounded generalized Harish-Chandra modules

4 citations · 11 across the 9 of their papers we have counts for

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Showing 2007 · math.RTShow all

3 papers · 2 filters

math.RT2007★ 4 cited

Bounded generalized Harish-Chandra modules

Ivan Penkov, Vera Serganova

Let $≫$ be a complex reductive Lie algebra and $\kk\subset\gg$ be any reductive in $≫$ subalgebra. We call a $(\gg,\kk)$-module $M$ bounded if the $\kk$-multiplicities of $M$ a…

math.RT2007

Tensor representations of classical locally finite Lie algebras

I. Penkov, K. Styrkas

We study the structure of tensor representations of the classical infinite-dimensional locally finite Lie algebras $g l_{\infty}$ , $s l_{\infty}$ , $s p_{\infty}$ and $s o_{\infty}$ . In contras…

math.RT2007

A construction of generalized Harish-Chandra modules for locally reductive Lie algebras

Ivan Penkov, Gregg Zuckerman

We study cohomological induction for a pair $(g, k)$ , $g$ being an infinite dimensional locally reductive Lie algebra and $k \subset g$ being of the for…