Výsledky vyhledávání - "Donin, Joseph"

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Finite rank vector bundles on inductive limits of grassmannians

Autor: Donin, Joseph, Penkov, Ivan

If $\P^\infty$ is the projective ind-space, i.e. $\P^\infty$ is the inductive limit of linear embeddings of complex projective spaces, the Barth-Van de Ven-Tyurin (BVT) Theorem claims that every finite rank vector bundle on $\P^\infty$ is isomorphic

Externí odkaz: http://arxiv.org/abs/math/0211403

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Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank

Autor: Donin, Joseph, Ostapenko, Vadim

We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation q uantizations equivariant under the action of $G$ and the corresponding quantum group. We also classify

Externí odkaz: http://arxiv.org/abs/math/0210188

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Invariant quantization in one and two parameters on semisimple coadjoint orbits of simple Lie groups

Autor: Donin, Joseph, Gurevich, Dmitry, Shnider, Steve

We study one and two parameter quantizations of the function algebra on a semisimple orbit in the coadjoint representation of a simple Lie group subject to the condition that the multiplication on the quantized algebra is invariant under action of th

Externí odkaz: http://arxiv.org/abs/math/9807159

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Quantization of function algebras on semisimple orbits in $\g^*$

Autor: Donin, Joseph, Gurevich, Dmitry, Shnider, Steven

In this paper we describe a multiparameter deformation of the function algebra of a semisimple coadjoint orbit. In the first section we use the representation of the Lie algebra on a generalized Verma module to quantize the Kirillov bracket on the fa

Externí odkaz: http://arxiv.org/abs/q-alg/9607008

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