44 citations · 115 across the 22 of their papers we have counts for
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math.RT2009★ 1 cited
Borel--Weil Theory for Groups over Commutative Banach Algebras
Karl-Hermann Neeb, Henrik Seppanen
Let $\cA$ be a commutative unital Banach algebra, $\g$ be a semisimple complex Lie algebra and $G(\cA)$ be the 1-connected Banach--Lie group with Lie algebra $\g \otimes \cA$. Then…
math.RT2009
Unitary highest weight modules of locally affine Lie algebras
Karl-Hermann Neeb
Locally affine Lie algebras are generalizations of affine Kac--Moody algebras with Cartan subalgebras of infinite rank whose root system is locally affine. In this note we study a…
math.RT2009★ 4 cited
Borel-Weil Theory for Root Graded Banach-Lie groups
Christoph Mueller, Karl-Hermann Neeb, Henrik Seppanen
In this paper we introduce (weakly) root graded Banach--Lie algebras and corresponding Lie groups as natural generalizations of group like $\GL_n(A)$ for a Banach algebra or gr…