A superalgebraic interpretation of the quantization maps of Weil algebras

DOI10.1007/S10114-007-1022-9zbMath1146.17018arXivmath/0502150OpenAlexW2121377719MaRDI QIDQ925957

Yu Li

Publication date: 26 May 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502150

zbMATH Keywords

quantizationDuflo map\(G\)-differential algebrasnoncommutative Weil algebras

Mathematics Subject Classification ID

Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\)
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
• Clifford algebras and the classical dynamical Yang-Baxter equation
• Deformation quantization of Poisson manifolds
• The non-commutative Weil algebra
• Dirac cohomology for Lie superalgebras
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Harmonic Analysis in Phase Space. (AM-122)
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• Lie theory and the Chern–Weil homomorphism

This page was built for publication: A superalgebraic interpretation of the quantization maps of Weil algebras