46 citations · 158 across the 12 of their papers we have counts for
12 papers
-manifolds and Higher Analogs of Lie Algebroids
Theodore Th. Voronov
We show how the relation between -manifolds and Lie algebroids extends to ``higher'' or ``non-linear'' analogs of Lie algebroids. We study the identities satisfied by a new alge…
A note on gauge systems from the point of view of Lie algebroids
Glenn Barnich
In the context of the variational bi-complex, we re-explain that irreducible gauge systems define a particular example of a Lie algebroid. This is used to review some recent and no…
Equivariant quantization of spin systems
Jean-Philippe Michel
We investigate the geometric and conformally equivariant quantizations of the supercotangent bundle of a pseudo-Riemannian manifold , which is a model for the phase space of…
On Weyl calculus in infinitely many variables
Ingrid Beltita, Daniel Beltita
We outline an abstract approach to the pseudo-differential Weyl calculus for operators in function spaces in infinitely many variables. Our earlier approach to the Weyl calculus fo…
A survey on Weyl calculus for representations of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We survey some aspects of the pseudo-differential Weyl calculus for irreducible unitary representations of nilpotent Lie groups, ranging from the classical ideas to recently obtain…
Relativistic Equations for Spin Particles: What Can We Learn From Noncommutativity?
Valeri V. Dvoeglazov
We derive relativistic equations for charged and neutral spin particles. The approach for higher-spin particles is based on generalizations of the Bargmann-Wigner formalism. Next,…
Lie antialgebras: cohomology and representations
Valentin Ovsienko
We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative al…
A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
Alexander V. Karabegov
We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (u_{kl}) to the doubly stochastic matrix (|u_{kl}|^2) is a submersion for al…
On weak Lie 2-algebras
Dmitry Roytenberg
A Lie 2-algebra is a linear category equipped with a functorial bilinear operation satisfying skew-symmetry and Jacobi identity up to natural transformations which themselves obey…
Operators on superspaces and generalizations of the Gelfand-Kolmogorov theorem
H. M. Khudaverdian, Th. Th. Voronov
(Write-up of a talk at the Bialowieza meeting, July 2007.) Gelfand and Kolmogorov in 1939 proved that a compact Hausdorff topological space can be canonically embedded into the…
Relativistic Gamow Vectors
A. Bohm, H. Kaldass, S. Wickramasekara +1
Gamow vectors in non-relativistic quantum mechanics are generalized eigenvectors (kets) of self-adjoint Hamiltonians with complex eigenvalues. Like the Dirac kets, they are mathema…
Time-Reversal and Irreversibility
A. Bohm, P. Kielanowski
The time reversal and irreversibility in conventional quantum mechanics are compared with those of the rigged Hilbert space quantum mechanics. We discuss the time evolution of Gamo…