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math.DG2006
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
Daniel Beltita, Tudor S. Ratiu, Alice Barbara Tumpach
We investigate some basic questions concerning the relationship between the restricted Grassmannian and the theory of Banach Lie-Poisson spaces. By using universal central extensio…
math-ph2006★ 1 cited
Mostow's Decomposition Theorem for L*-groups and Applications to affine coadjoint orbits and stable manifolds
A. B. Tumpach
Mostow's Decomposition Theorem is a refinement of the polar decomposition. It states the following. Let G be a compact connected semi-simple Lie group with Lie algebra g. Given a s…
math-ph2006★ 2 cited
Infinite-dimensional hyperkaehler manifolds associated with Hermitian-symmetric affine coadjoint orbits
Alice Barbara Tumpach
This paper is devoted to the construction of a hyperkaehler structure on the complexification of any Hermitian-symmetric affine coadjoint orbit O of a semi-simple L*-group of compa…