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On Dynamical Poisson Groupoids I.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2005Copyright date: ©2005Edition: 1st edDescription: 1 online resource (86 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404253
Subject(s): Genre/Form: Additional physical formats: Print version:: On Dynamical Poisson Groupoids IDDC classification:
  • 510 s;512/.2
LOC classification:
  • QA614.3 -- .L5 2005eb
Online resources:
Contents:
Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. A class of biequivariant Poisson groupoids -- 2.1. Preliminaries -- 2.2. Trivial Lie groupoids in C[sub(U)] -- Chapter 3. Duality -- 3.1. Duality of Poisson groupoids -- 3.2. The dual of a dynamical Poisson groupoid -- Chapter 4. An explicit case study of duality -- Chapter 5. Coboundary dynamical Poisson groupoids - the constant r-matrix case -- 5.1. The dual Poisson groupoid -- 5.2. Construction of the associated symplectic double groupoid -- Appendix -- A.1. Proof of Proposition 2.2.3 -- A.2. Proof of Theorem 2.2.5 (b) -- A.3. Proof of Proposition 3.2.1 -- A.4. Proof of the coisotropy in Theorem 5.1.4 -- Bibliography.
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Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. A class of biequivariant Poisson groupoids -- 2.1. Preliminaries -- 2.2. Trivial Lie groupoids in C[sub(U)] -- Chapter 3. Duality -- 3.1. Duality of Poisson groupoids -- 3.2. The dual of a dynamical Poisson groupoid -- Chapter 4. An explicit case study of duality -- Chapter 5. Coboundary dynamical Poisson groupoids - the constant r-matrix case -- 5.1. The dual Poisson groupoid -- 5.2. Construction of the associated symplectic double groupoid -- Appendix -- A.1. Proof of Proposition 2.2.3 -- A.2. Proof of Theorem 2.2.5 (b) -- A.3. Proof of Proposition 3.2.1 -- A.4. Proof of the coisotropy in Theorem 5.1.4 -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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