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Pure Spinors in AdS and Lie Algebra Cohomology
(Springer, 2014-10-01)
We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS(5) x S (5) can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex ...
On finite dimensional Nichols algebras of diagonal type
(SpringerOpen, 2017-12)
This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf ...
Elementary Gradings On The Lie Algebra Utn(-)
(Academic Press Inc Elsevier ScienceSan Diego, 2017)
JORDAN DECOMPOSITION AND DYNAMICS ON FLAG MANIFOLDS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2010)
Symmetry insights for design of supercomputer network topologies: roots and weights lattices
(World Scientific Publishing Co. Pte. Ltd.Singapore, 2012)
We present a family of networks whose local interconnection topologies are generated by the root vectors of a semi-simple complex Lie algebra. Cartan classification theorem of those algebras ensures those families of ...
Solitones en la teoría einstein”maxwell”dilaton”axion
(Revista Mexicana de Física, 2009)
Group Gradings On The Lie Algebra Of Upper Triangular Matrices
(Academic Press Inc Elsevier ScienceSan Diego, 2017)
Examples of Self-Iterating Lie Algebras, 2
(HELDERMANN VERLAG, 2009)
We study properties of self-iterating Lie algebras in positive characteristic. Let R = K[t(i)vertical bar i is an element of N]/(t(i)(p)vertical bar i is an element of N) be the truncated polynomial ring. Let partial ...
Moving frames for Lie symmetries reduction of nonholonomic systems
(2019-08-01)
Given a Lie group of finite-dimensional transformations acting on a manifold, there is always an action known as a long-acting group action. This action describes the fundamental basis of the Lie theory connecting groups ...
Some remarks on representations of Yang-Mills algebras
(American Institute of Physics, 2014-12)
In this article we present some probably unexpected (in our opinion) properties of representations of Yang-Mills algebras. We first show that any free Lie algebra with m generators is a quotient of the Yang-Mills algebra ...