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ANALYSIS ON COMPACT LIE GROUPS OF LARGE DIMENSION AND ON CONNECTED COMPACT GROUPS
LIE GROUPS LARGE DIMENSION
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2015/8/26
The study of Gaussian convolution semigroups is a subject at the cross-
road between abstract and concrete problems in harmonic analysis. This article suggests
selected open problems that are in lar...
Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
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2014/12/20
Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
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2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation
Lax pair symmetries symmetry group exact solution
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2012/9/24
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
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2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
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2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
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2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
(p,q) D=3 Poincare supergravities from Lie algebra expansions
Lie algebra expansions High Energy Physics - Theory
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2011/10/8
Abstract: We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriv...
Classification of Simple Lie Algebras on a Lattice
Simple Lie Algebras Lattice Representation Theory Mathematical Physics
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2011/9/1
Abstract: Let $\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\Lambda$ is a Lie algebra ${\cal L}=\oplus_{\lambda\in\Lambda}\,{\cal L}_{\lambda}$ such that $\dim\,{\cal L}_\lambda=1$...
Categories of unitary representations of Banach-Lie supergroups and restriction functors
Banach–Lie supergroups unitary representations smooth vectors analytic vectors
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2011/8/25
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
Sistemas de Lie y sus aplicaciones en Fisica y Teoria de Control
Lie systems Control Theory Mathematical Physics
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2011/7/26
Sistemas de Lie y sus aplicaciones en Física y Teoría de Control.
Surfaces immersed in Lie algebras associated with elliptic integrals
Generalized symmetries integrable models surfaces immersed in Lie algebras
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2011/7/26
Surfaces immersed in Lie algebras associated with elliptic integrals.
On Lie algebroids and Poisson algebras
Lie algebroids Poisson algebras faithful modules Differential Geometry
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2011/7/27
Abstract: We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classificati...
Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra
Lie algebra supersymmetries super Poincare Lie algebra High Energy Physics - Theory
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2011/7/27
Abstract: We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra. We give complete answers for (non-extended) supersymmetry in all dimens...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations Simple n-Lie Algebra
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2010/12/24
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...