TY - BOOK AU - Li,Luen-Chau AU - Parmentier,Serge TI - On Dynamical Poisson Groupoids I T2 - Memoirs of the American Mathematical Society SN - 9781470404253 AV - QA614.3 -- .L5 2005eb U1 - 510 s;512/.2 PY - 2005/// CY - Providence PB - American Mathematical Society KW - Poisson manifolds KW - Pseudogroups KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114111 ER -