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On Some Families Of Modules For The Current Algebra
(SpringerDordrecht, 2017)
Módulos de Weyl e de Demazure para álgebras de Lie de correntesWeyl and Demazure modules for current Lie algebras
(Universidade Federal de Viçosa, 2021)
Non-solvable Lie groups with negative Ricci curvature
(Birkhauser Boston Inc, 2020-06-16)
Until a couple of years ago, the only known examples of Lie groups admitting left-invariant metrics with negative Ricci curvature were either solvable or semisimple.We use a general construction from a previous article of ...
Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)
(ELSEVIER SCIENCE BV, 2009)
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C[t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an ...
Nil graded self-similar algebras
(EUROPEAN MATHEMATICAL SOC, 2010)
In [19], [24] we introduced a family of self-similar nil Lie algebras L over fields of prime characteristic p > 0 whose properties resemble those of Grigorchuk and Gupta-Sidki groups. The Lie algebra L is generated by two ...
Polar orthogonal representations of real reductive algebraic groups
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural ...
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 ...
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 ...