Results 51 to 60 of about 584,117 (206)
On realizations of Lie algebras
Acta PolytechnicaWe discuss and compare the main methods for constructing of Lie vector fields from the given Lie algebra structure constants. Generic realizations of three conformal algebras are obtained by the algebraic method and all realizations of the three ...
Maryna Nesterenko +3 more
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Conformal oscillator representations of orthogonal Lie algebras [PDF]
Science China Mathematics, 2015 13pages
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4d/2d Correspondence: Instantons and W-Algebras [PDF]
, 2012 In this thesis, we study the 4d/2d correspondence of Alday-Gaiotto-Tachikawa, which relates the class of 4-dimensional N=2 gauge theories (theories of class S) to a 2-dimensional conformal field theory. The 4d gauge theories are obtained by compactifying
Song, Jaewon
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Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core
Statistical Lie algebras of a constant curvature and locally conformally Kähler Lie algebras
, 2021 We show that a statistical manifold manifold of a constant non-zero curvature can be realised as a level line of Hessian potential on a Hessian cone. We construct a Sasakian structure on $TM\times\R$ by a statistical manifold manifold of a constant non-zero curvature on $M$. By a statistical Lie algebra of a constant non-zero Lie algebra we construct a
openaire +2 more sources
On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
LAPLACE EQUATIONS, CONFORMAL SUPERINTEGRABILITY AND BÔCHER CONTRACTIONS
Acta Polytechnica, 2016 Quantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often ``hidden''.The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to define ...
Ernest G. Kalnins +2 more
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