Poisson-Nijenhuis structures
Yvette Kosmann-Schwarzbach, Franco Magri (1990)
Annales de l'I.H.P. Physique théorique
Similarity:
Yvette Kosmann-Schwarzbach, Franco Magri (1990)
Annales de l'I.H.P. Physique théorique
Similarity:
Vaisman, Izu (2000)
Journal of Lie Theory
Similarity:
Nijenhuis, A. (1996)
Archivum Mathematicum
Similarity:
Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Kenny De Commer (2015)
Banach Center Publications
Similarity:
On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Charles-Michel Marle
Similarity:
We begin with a short presentation of the basic concepts related to Lie groupoids and Lie algebroids, but the main part of this paper deals with Lie algebroids. A Lie algebroid over a manifold is a vector bundle over that manifold whose properties are very similar to those of a tangent bundle. Its dual bundle has properties very similar to those of a cotangent bundle: in the graded algebra of sections of its exterior powers, one can define an operator similar to the exterior derivative....
Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Similarity:
Liping Sun, Wende Liu (2017)
Open Mathematics
Similarity:
According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use of the ℤ-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras....
Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
Similarity:
Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
Boucetta, Mohamed (2005)
Journal of Lie Theory
Similarity:
Kamran, Niky, Robart, Thierry (2001)
Journal of Lie Theory
Similarity:
Jan Vysoký, Ladislav Hlavatý (2012)
Archivum Mathematicum
Similarity:
Poisson sigma models represent an interesting use of Poisson manifolds for the construction of a classical field theory. Their definition in the language of fibre bundles is shown and the corresponding field equations are derived using a coordinate independent variational principle. The elegant form of equations of motion for so called Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras....