Deformation quantization for Heisenberg supergroup

DOI10.1016/j.jfa.2012.05.002zbMath1247.53091arXiv1011.2370OpenAlexW2013617426MaRDI QIDQ442192

Pierre Bieliavsky, Axel de Goursac, Gijs M. Tuynman

Publication date: 10 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2370

zbMATH Keywords

superalgebraKirillov's orbit methodDeformation quantizationHeisenberg supergroupUniversal deformation formula

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Sub-Riemannian geometry (53C17)

Related Items (4)

Non-formal star-exponential on contracted one-sheeted hyperboloids ⋮ Renormalization of the commutative scalar theory with harmonic term to all orders ⋮ Quantization of the affine group of a local field ⋮ Cohomology of Heisenberg Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative \(\varepsilon \)-graded connections
• On the origin of the harmonic term in noncommutative quantum field theory
• Super symplectic geometry and prequantization
• Universal deformation formulae, symplectic Lie groups and symmetric spaces
• Noncommutative induced gauge theory
• Hochschild cohomology and deformations of Clifford-Weyl algebras.
• Geometric quantization of the BRST charge
• Deformation theory and quantization. II: Physical applications
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Deformation quantization of Heisenberg manifolds
• Strict quantization of solvable symmetric spaces
• Deformation quantization of Poisson manifolds
• The quantum structure of spacetime of the Planck scale and quantum fields
• Graded Brauer groups and K-theory with local coefficients
• Deformation Quantization for Actions of Kählerian Lie Groups
• The Brauer Group of Graded Continuous Trace C ∗ -Algebras
• Induced gauge theory on a noncommutative space
• Super Hilbert spaces

This page was built for publication: Deformation quantization for Heisenberg supergroup