44 citations · 127 across the 28 of their papers we have counts for
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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…
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…
Geometric characterization of hermitian algebras with continuous inversion
Daniel Beltita, Karl-Hermann Neeb
A hermitian algebra is a unital associative -algebra endowed with an involution such that the spectra of self-adjoint elements are contained in . In the c…
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…