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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Expanding cone and homogeneous dynamics
膨胀锥体 均匀动力学 非紧致简单李群
2023/4/17
We introduce the notion of expanding cone of a noncompact simple Lie group. This allows us to extend several results in homogeneous dynamics to more general settings. We show how this notion is used i...
Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras
Homogeneous spaces multi-moment maps (2,3)-trivial algebras
2011/1/17
For geometries with a closed three-form we briefly overview the notion of multimoment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly K¨ahler manifold...
The endomorphisms monoid of a homogeneous vector bundle
endomorphisms monoid homogeneous vector bundle
2010/12/14
In this paper we give some properties of the algebraic and geometric structure of the endomorphisms monoid of a homogeneous vector bundle.
A classification theorem for Dirac homogeneous spaces of Dirac Lie groupoids
Poisson Lie groupoids Lie groupoids Dirac manifolds homogeneous spaces Courant algebroids
2010/11/29
The theorems in Drinfel′d (1993), Liu et al. (1998), Jotz (2010a) about one-one orrespondence between homogeneous objects of a Poisson Lie group (respectively Poisson Lie groupoid, Dirac Lie group)and...
Non-time-homogeneous Generalized Mehler Semigroups and Applications
Non-homogeneous generalized Mehler semigroup additive process
2010/12/14
A non-time-homogeneous generalized Mehler semigroup on a real sep-arable Hilbert space H is defined through ps,tf(x) = Z H f(U(t, s)x + y) μt,s(dy), t ≥ s, x ∈ H,for every bounded measurable function ...