منابع مشابه
Picard Groups of Poisson Manifolds
For a Poisson manifold M we develop systematic methods to compute its Picard group Pic(M), i.e., its group of self Morita equivalences. We establish a precise relationship between Pic(M) and the group of gauge transformations up to Poisson diffeomorphisms showing, in particular, that their connected components of the identity coincide; this allows us to introduce the Picard Lie algebra of M and...
متن کاملPicard Groups in Poisson Geometry
We study isomorphism classes of symplectic dual pairs P ← S → P , where P is an integrable Poisson manifold, S is symplectic, and the two maps are complete, surjective Poisson submersions with connected and simply-connected fibres. For fixed P , these Morita self-equivalences of P form a group Pic(P ) under a natural “tensor product” operation. Variants of this construction are also studied, fo...
متن کاملGenerators for the Euclidean Picard Modular Groups
The goal of this article is to show that five explicitly given transformations, a rotation, two screw Heisenberg rotations, a vertical translation and an involution generate the Euclidean Picard modular groups with coefficient in the Euclidean ring of integers of a quadratic imaginary number field. We also obtain a presentation of the isotropy subgroup fixing infinity by analysis of the combina...
متن کاملPICARD GROUPS IN p-ADIC FOURIER THEORY
Let L 6= Qp be a proper finite field extension of Qp and o ⊂ L its ring of integers viewed as an abelian locally L-analytic group. Let ô be the rigid L-analytic group parametrizing the locally analytic characters of o constructed by Schneider-Teitelbaum. Let K/L be a finite extension field. We show that the base change ôK has a Picard group Pic(ôK) which is profinite and that the unit section i...
متن کاملBimodule deformations, Picard groups and contravariant connections
We study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K0-groups are known to be stable under formal deformations of algebras, Picard groups may change drastically. We identify the semiclassical limit of bimodule deformations as contravariant connections and study the associated deformation quantization problem. Our main focus is on...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1997
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-72-2-325-334