| Hardcover ISBN: | 978-0-8218-1178-8 |
| Product Code: | TRANS2/187 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-3398-7 |
| Product Code: | TRANS2/187.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-1178-8 |
| eBook: ISBN: | 978-1-4704-3398-7 |
| Product Code: | TRANS2/187.B |
| List Price: | $340.00 $257.50 |
| MAA Member Price: | $306.00 $231.75 |
| AMS Member Price: | $272.00 $206.00 |
| Hardcover ISBN: | 978-0-8218-1178-8 |
| Product Code: | TRANS2/187 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-3398-7 |
| Product Code: | TRANS2/187.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-1178-8 |
| eBook ISBN: | 978-1-4704-3398-7 |
| Product Code: | TRANS2/187.B |
| List Price: | $340.00 $257.50 |
| MAA Member Price: | $306.00 $231.75 |
| AMS Member Price: | $272.00 $206.00 |
-
Book DetailsAmerican Mathematical Society Translations - Series 2Advances in the Mathematical SciencesVolume: 187; 1998; 360 ppMSC: Primary 58; 81; 70; Secondary 33; 51; 53
This volume contains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.
ReadershipGraduate students and mathematics and physics researchers working in general quantization theory, symplectic geometry, Hamilton dynamics and representation theory.
-
Table of Contents
-
Chapters
-
Mikhail Karasev and Elena Novikova — Non-Lie permutation relations, coherent states, and quantum embedding
-
Mikhail Karasev and Yurii Vorobjev — Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds
-
Vladimir Itskov, Mikhail Karasev and Yurii Vorobjev — Infinitesimal Poisson cohomology
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
This volume contains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.
Graduate students and mathematics and physics researchers working in general quantization theory, symplectic geometry, Hamilton dynamics and representation theory.
-
Chapters
-
Mikhail Karasev and Elena Novikova — Non-Lie permutation relations, coherent states, and quantum embedding
-
Mikhail Karasev and Yurii Vorobjev — Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds
-
Vladimir Itskov, Mikhail Karasev and Yurii Vorobjev — Infinitesimal Poisson cohomology
