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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 ...
Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits
(Springer New York LLC, 2019)
© 2018, Mathematica Josephina, Inc.For a connected simply connected nilpotent Lie group G with Lie algebra g and unitary dual G^ one has (a) a global quantization of operator-valued symbols defined on G× G^ , involving the ...
Classification of Nilsoliton metrics in dimension seven
(Elsevier Science, 2014-12)
The aim of this paper is to classify Ricci soliton metrics on 7-dimensional nilpotent Lie groups. It can be considered as a continuation of our paper in Fernández Culma (2012). To this end, we use the classification of ...
Three-dimensional Poincaré supergravity and N-extended supersymmetric BMS3 algebra
(Physics Letters B, 2020)
Total cohomology of solvable lie algebras and linear deformations
(American Mathematical Society, 2016-05)
Given a finite-dimensional Lie algebra g, let Γo(g) be the set of irreducible g-modules with non-vanishing cohomology. We prove that a gmodule V belongs to Γo(g) only if V is contained in the exterior algebra of the solvable ...
Special functions lie theory and partial differential equations
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1997)
In the lectures an outline is given of the close relationship between special functions and Lie group theory. In doing so the exposition is deliberately quite direct and hopefully clear. An attempt is made to give an outline ...
A note on the Bruhat decomposition of semisimple Lie groups
(Heldermann VerlagLemgoAlemanha, 2008)
Nonhomogeneous subalgebras of Lie and special Jordan superalgebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We consider polynomial identities satisfied by nonhomogeneous subalgebras of Lie and special Jordan superalgebras: we ignore the grading and regard the superalgebra as an ordinary algebra. The Lie case has been studied by ...
Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
(Pergamon-elsevier Science LtdOxfordInglaterra, 2004)
A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
(Elsevier, 2014-02)
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted ...