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math.RT2009★ 1 cited
Parabolic and Levi subalgebras of finitary Lie algebras
Elizabeth Dan-Cohen, Ivan Penkov
Let $\g$ be a locally reductive complex Lie algebra which admits a faithful countable-dimensional finitary representation . Such a Lie algebra is a split extension of an abelian…
math.RT2009
Parabolic Subgroups of Real Direct Limit Groups
Elizabeth Dan-Cohen, Ivan Penkov, Joseph A. Wolf
Let be a classical real direct limit Lie group and its Lie algebra. The parabolic subalgebras of the complexification were described by the first two authors. In…