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Master's Dissertation
DOI
Document
Author
Full name
Marcos Alexandre Laudelino Orseli
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Gonzalez, Cristian Andres Ortiz (President)
Cárdenas, Cristian Camilo Cárdenas
Forger, Frank Michael
Title in Portuguese
Estruturas de Poisson não comutativas
Keywords in Portuguese
Cohomologia de Hochschild
Geometria de Poisson
Geometria não comutativa
Abstract in Portuguese
Introduzimos o conceito de estrutura de Poisson não comutativa em álgebras associativas e mostra como este conceito se relaciona com o caso clássico, quando a álgebra em questão é a álgebra de funções em uma variedade de Poisson. Mostramos como quocientes simpléticos, não necessariamente suaves, fornecem exemplos de estruturas de Poisson não comutativas.
Title in English
Noncommutative Poisson structures.
Keywords in English
Hochschild cohomology
Noncommutative geometry
Poisson geometry
Abstract in English
We introduce the concept of noncommutative Poisson structure on associative algebras and shows how this concept is related to the classical case, that is, the algebra under study is the algebra of functions on a Poisson manifold. We also show how symplectic quotients, not necessarily smooth, provides examples of noncommutative Poisson structures.
 
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dissertacaocorrigida.pdf (343.24 Kbytes)
Publishing Date
2019-04-30
 
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