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The moment maps in diffeology /
"This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associ...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2010.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 972. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associated to the action of the whole group of automorphisms Diff (X, w). By considering directly the space of momenta of any diffeological group G, that is the space g* of left-invariant 1-forms on G, this construction avoids any reference to Lie algebra or any notion of vector fields, or does not involve any functional analysis. These constructions of the various moment maps are illustrated by many examples, some of them originals and others suggested by the mathematical literature."--Publisher's description |
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| Notas: | "Volume 207, number 972 (second of 5 numbers)." |
| Descripción Física: | 1 online resource (72 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 71-72). |
| ISBN: | 9781470405861 1470405865 |
| ISSN: | 0065-9268 ; |