Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds

DOI10.1007/BF00398579zbMath0392.58019MaRDI QIDQ1251840

André Lichnerowicz

Publication date: 1977

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Classical GroupsCotangent BundleH-DeformationsLie Group of Symplectic DiffeomorphismsMoyal BracketQuantum Commutator BracketStiefel ManifoldsSymplectic ManifoldTwisted Products

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15)

Related Items (12)

Geodesic symmetries and invariant star products on Kähler symmetric spaces ⋮ Unnamed Item ⋮ Weyl quantization and star products ⋮ Some ideas about quantization ⋮ Formalité quotient. (Quotient formality) ⋮ Quantum integrable systems constrained on the sphere ⋮ Geometrical theory of contractions of groups and representations ⋮ Expression explicite de l'exponentielle gauche pour les éléments finis du groupe symplectique inhomogene ⋮ \(*\)- regular representation of compact Lie groups ⋮ *-products on some Kähler manifolds ⋮ Regular * representations of Lie algebras ⋮ An explicit *-product on the cotangent bundle of a Lie group

Cites Work

• Déformation du crochet de Poisson sur une variété symplectique

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