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Lie semigroups, homotopy, and global extensions of local homomorphisms
(Heldermann VerlagLemgo, 2015)
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W [...] g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free ...
Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W
(Academic Press Inc Elsevier Science, 2017-11)
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. The classification is based on a bijective correspondence between the continuous ...
Local symmetries in gauge theories in a finite-dimensional setting
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and their actions on manifolds, out into the realm ...
Maximal Subgroups of Compact Lie Groups
(HELDERMANN VERLAGLEMGO, 2013-08-02)
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) ...
Symplectic structures on nilmanifolds: an obstruction for its existence
(Heldermann Verlag, 2014-08)
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology of the Lie algebra. Using this obstruction ...
Characterization of 9-dimensional Anosov Lie Algebras
(Heldermann Verlag, 2015-09)
The classification of all real and rational Anosov Lie algebras up to dimension 8 is given by Lauret and Will. In this paper we study 9 -dimensional Anosov Lie algebras by using the properties of very special algebraic ...
A geometrical point of view on linearized beta-deformations
(Springer, 2019-09-01)
It is known that the supermultiplet of beta-deformations of N = 4 supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present ...
Torsors, reductive group schemes and extended affine Lie algebras
(American Mathematical Society, 2013-11)
We give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction ...
Lie algebra methods for the applications to the statistical theory of turbulence
(ATLANTIS PRESS, 2008)
Approximate Lie symmetries of the Navier-Stokes equations are used for the applications to scaling phenomenon arising in turbulence. In particular, we show that the Lie symmetries of the Euler equations are inherited by ...
Maximal semigroups in semi-simple Lie groups
(Amer Mathematical SocProvidenceEUA, 2001)