Nilpotent Fourier transform and applications
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Publication:1821310
DOI10.1007/BF00398548zbMath0616.46041MaRDI QIDQ1821310
Publication date: 1985
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Integral transforms in distribution spaces (46F12) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)
Related Items (17)
Matrix coefficients and a Weyl correspondence for nilpotent Lie groups ⋮ Variations on a theme of Schwinger and Weyl ⋮ Deformation program for principal series representations ⋮ Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Symbolic calculus on nilpotent Lie groups and applications ⋮ Berezin quantization for holomorphic discrete series representations: the non-scalar case ⋮ Weyl quantization for semidirect products ⋮ Adapted Fourier transform of Schwartz spaces for certain nilpotent Lie groups ⋮ Minimal realizations of classical simple Lie algebras through deformations ⋮ Deformations on coadjoint orbits ⋮ Invariant star products and representations of compact semisimple Lie groups ⋮ Differential cohomology of \(C^\infty ({\mathfrak G}^*)\) ⋮ Convexity and unitary representations of nilpotent Lie groups ⋮ Group actions in deformation quantization ⋮ Unnamed Item ⋮ Représentations \({}^*\) des groupes exponentiels. \((^*\)- representations of exponential groups) ⋮ Algebraic deformation program on minimal nilpotent orbit
Cites Work
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- Regular * representations of Lie algebras
- An explicit *-product on the cotangent bundle of a Lie group
- An associative algebra of functions on the orbits of nilpotent Lie groups
- Some ideas about quantization
- Deformation theory and quantization. I: Deformations of symplectic structures
- On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
- Covariance and geometrical invariance in *quantization
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