1.

Record Nr.

UNINA9910480632003321

Autore

Li Luen-Chau <1954->

Titolo

On dynamical Poisson groupoids I / / Luen-Chau Li, Serge Parmentier

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2005]

©2005

ISBN

1-4704-0425-7

Descrizione fisica

1 online resource (86 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 824

Disciplina

510 s

512/.2

Soggetti

Poisson manifolds

Pseudogroups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 174, number 824 (end of 4 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 71-72).

Nota di contenuto

""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""