45 citations · 122 across the 10 of their papers we have counts for
10 papers
r-Matrices, triangular L-bialgebras, and quantum groups
Denis Bashkirov, Alexander A. Voronov
A homotopy analogue of the notion of a triangular Lie bialgebra is proposed with a goal of extending the basic notions of theory of quantum groups to the context of homotopy algebr…
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…
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…