46 citations · 136 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…
Multipoint Lax operator algebras. Almost-graded structure and central extensions
Martin Schlichenmaier
Recently, Lax operator algebras appeared as a new class of higher genus current type algebras. Based on I.Krichever's theory of Lax operators on algebraic curves they were introduc…
-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…