On Dynamical Poisson Groupoids I.
Li, Luen-Chau.
On Dynamical Poisson Groupoids I. - 1st ed. - 1 online resource (86 pages) - Memoirs of the American Mathematical Society ; v.174 . - Memoirs of the American Mathematical Society .
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.
9781470404253
Poisson manifolds.
Pseudogroups.
Electronic books.
QA614.3 -- .L5 2005eb
510 s;512/.2
On Dynamical Poisson Groupoids I. - 1st ed. - 1 online resource (86 pages) - Memoirs of the American Mathematical Society ; v.174 . - Memoirs of the American Mathematical Society .
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.
9781470404253
Poisson manifolds.
Pseudogroups.
Electronic books.
QA614.3 -- .L5 2005eb
510 s;512/.2