Invariant star products and representations of compact semisimple Lie groups
Identifieur interne : 000725 ( France/Analysis ); précédent : 000724; suivant : 000726Invariant star products and representations of compact semisimple Lie groups
Auteurs : Carlos Moreno [France, Espagne]Source :
- Letters in Mathematical Physics [ 0377-9017 ] ; 1986-10-01.
English descriptors
- KwdEn :
- Asymptotic expansion, Bidifferential operator, Carlos, Carlos moreno, Coadjoint, Coadjoint representation, Coherent states, Compact semisimple, Complex number, Covariant symbol, Dominant weight, Holomorphic, Holomorphic sections, Integral orbit, Invariant operator, Invariant star product, Invariant star products, Kahler structure, Laplace operator, Laplace operators, Lesser dimension, Math, Metric, Moreno, Overcomplete system, Phys, Recursion formula, Regular orbits, Russian math, Scalar curvature, Semisimple, Single factor, Star products, Symmetric spaces, Unitary representation.
- Teeft :
- Asymptotic expansion, Bidifferential operator, Carlos, Carlos moreno, Coadjoint, Coadjoint representation, Coherent states, Compact semisimple, Complex number, Covariant symbol, Dominant weight, Holomorphic, Holomorphic sections, Integral orbit, Invariant operator, Invariant star product, Invariant star products, Kahler structure, Laplace operator, Laplace operators, Lesser dimension, Math, Metric, Moreno, Overcomplete system, Phys, Recursion formula, Regular orbits, Russian math, Scalar curvature, Semisimple, Single factor, Star products, Symmetric spaces, Unitary representation.
Abstract
Abstract: Starting from the work by F. A. Berezin, and earlier paper by the author defined an invariant star product on every nonexceptional Kähler symmetric space. In this Letter a recursion formula is obtained to calculate the corresponding invariant Hochschild 2-cochains for spaces of types II and III. An invariant star product is defined on every integral symplectic (Kähler) homogeneous space of simply-connected compact Lie groups (on every integral orbit of the coadjoint representation). The invariant 2-cochains are obtained from the Bochner-Calabi function of the space. The leading term of the lth-2-cochain is determined by the l-power of the Laplace operator.
Url:
DOI: 10.1007/BF00416512
Affiliations:
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A. Berezin, and earlier paper by the author defined an invariant star product on every nonexceptional Kähler symmetric space. In this Letter a recursion formula is obtained to calculate the corresponding invariant Hochschild 2-cochains for spaces of types II and III. An invariant star product is defined on every integral symplectic (Kähler) homogeneous space of simply-connected compact Lie groups (on every integral orbit of the coadjoint representation). The invariant 2-cochains are obtained from the Bochner-Calabi function of the space. The leading term of the lth-2-cochain is determined by the l-power of the Laplace operator.</div></front></TEI><affiliations><list><country><li>Espagne</li><li>France</li></country><region><li>Communauté de Madrid</li><li>Île-de-France</li></region><settlement><li>Madrid</li><li>Paris</li></settlement></list><tree><country name="France"><region name="Île-de-France"><name sortKey="Moreno, Carlos" sort="Moreno, Carlos" uniqKey="Moreno C" first="Carlos" last="Moreno">Carlos Moreno</name></region></country><country name="Espagne"><region name="Communauté de Madrid"><name sortKey="Moreno, Carlos" sort="Moreno, Carlos" uniqKey="Moreno C" first="Carlos" last="Moreno">Carlos Moreno</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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