Poisson Banach Modules over a Poisson C*-Algebr
نویسندگان
چکیده
منابع مشابه
Poisson Modules and Generalized Geometry
Generalized complex structures were introduced as a common format for discussing both symplectic and complex manifolds, but the most interesting examples are hybrid objects – part symplectic and part complex. One such class of examples consists of holomorphic Poisson surfaces, but in [5],[6] Cavalcanti and Gualtieri also construct generalized complex 4-manifolds with similar features which are ...
متن کاملFinite-dimensional Simple Poisson Modules
We prove a result that can be applied to determine the finitedimensional simple Poisson modules over a Poisson algebra and apply it to numerous examples. In the discussion of the examples, the emphasis is on the correspondence with the finite-dimensional simple modules over deformations and on the behaviour of finite-dimensional simple Poisson modules on the passage from a Poisson algebra to th...
متن کاملBanach Lie-poisson Spaces and Reduction
The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W ∗-algebras can be considered as one of its subcategories. Examples and applications of Banach Lie-Poisson spaces to quantization and integration of Hamiltonian systems are given. The relationship between classical and quantum reduction is discussed.
متن کاملPoisson traces, D-modules, and symplectic resolutions
We survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a series of recent papers. The goal is to understand this subtle invariant of (singular) Poisson varieties, conditions for it to be finite-dimensional, its relationship to the geometry and topology of symplectic resolutions, and its applications to quantizations. The main technique is the study of a ...
متن کاملPoisson Perturbations Poisson Perturbations Poisson Perturbations *
Stein's method is used to prove approximations in total variation to the distributions of integer valued random variables by (possibly signed) compound Poisson measures. For sums of independent random variables, the results obtained are very explicit, and improve upon earlier work of Kruopis (1983) and Cekanavicius (1997); coupling methods are used to derive concrete expressions for the error b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2008
ISSN: 1225-6951
DOI: 10.5666/kmj.2008.48.4.529