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Item Details
| Title:
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THE MOMENT MAPS IN DIFFEOLOGY
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| By: |
Patrick Iglesias-Zemmour |
| Format: |
Paperback |
| List price:
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£64.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821847090 |
| ISBN 13: |
9780821847091 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 August, 2010 |
| Series: |
Memoirs of the American Mathematical Society 207 |
| Pages: |
72 |
| Description: |
"Volume 207, number 972 (second of 5 numbers)." |
| Synopsis: |
This memoir presents a generalization of the moment maps to the category \{$Diffeology$\}. This construction applies to every smooth action of any diffeological group \textup{G} preserving a closed 2-form \omega, defined on some diffeological space \textup{X}. In particular, that reveals a universal construction, associated to the action of the whole group of automorphisms \mathrm{Diff}(\textup{X},\omega). By considering directly the space of momenta of any diffeological group \textup{G}, that is the space \mathscr{G}^* of left-invariant 1-forms on \textup{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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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