The hypoelliptic Laplacian on a compact Lie group
From MaRDI portal
Publication:999839
DOI10.1016/j.jfa.2008.07.017zbMath1183.43005OpenAlexW2082242667MaRDI QIDQ999839
Publication date: 10 February 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2008.07.017
hypoelliptic equationsindex theory and related fixed point theoremsinfinite-dimensional Lie groups and their Lie algebras
Index theory and related fixed-point theorems on manifolds (58J20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Analysis on other specific Lie groups (43A80)
Related Items
Homogenisation on homogeneous spaces ⋮ Subelliptic Peter-Weyl and Plancherel theorems on compact, connected, semisimple Lie groups ⋮ Characters, coadjoint orbits and Duistermaat-Heckman integrals ⋮ Hypoelliptic Laplacian and twisted trace formula ⋮ Hypoelliptic Laplacian and orbital integrals ⋮ Drift diffusion equations with fractional diffusion on compact Lie groups
Cites Work
- 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 \(\bigwedge {\mathfrak g}\)
- Orbital theory for affine Lie algebras
- Zeros d'un champ de vecteurs et classes characteristiques équivariantes
- The moment map and equivariant cohomology
- Index theorem and equivariant cohomology on the loop space
- Superconnections, Thom classes, and equivariant differential forms
- Localization formulas, superconnections, and the index theorem for families
- A short proof of the local Atiyah-Singer index theorem
- A local index theorem for non-Kähler manifolds
- Supersymmetry and Morse theory
- On the variation in the cohomology of the symplectic form of the reduced phase space
- Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
- On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
- Group-valued equivariant localization
- The non-commutative Weil algebra
- Hypoelliptic second order differential equations
- Curvature and the eigenvalues of the Laplacian
- R-torsion and the Laplacian on Riemannian manifolds
- Koszul Complexes, Harmonic Oscillators, and the Todd Class
- The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
- The hypoelliptic Laplacian on the cotangent bundle