Results 11 to 20 of about 3,293,045 (70)

Elementary Lie Algebras and Lie A-Algebras. [PDF]

, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman, Bowman, Kevin, Vicente R. Varea, Varea, Vicente R., Towers, David A., David A. Towers   +5 more
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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, Varea, Vicente R., Towers, David A.   +2 more
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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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Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]

, 2003
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D., Iain Gordon, Dmitriy Rumynin, Gordon, I. (Iain), Rumynin, Dmitriy, Gordon, I.   +5 more
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Polarizations and Nullcone of Representations of Reductive Groups [PDF]

, 2009
The paper starts with the following simple observation. Let V be a representation of a reductive group G, and let f_1,f_2,...,f_n be homogeneous invariant functions. Then the polarizations of f_1,f_2,...,f_n define the nullcone of k 0} h(t) x = 0 for all
Kraft, Hanspeter, Hanspeter Kraft, Nolan R. Wallach, Wallach, Nolan   +3 more
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The sheets of a classical lie algebra [PDF]

, 2005
We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
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Complete reducibility and separability

, 2010
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal centralizers have the same dimension. We study the interaction between
Röhrle, Gerhard, Tange, R., Martin, B., Bate, Michael, Bate, M., Tange, Rudolf, Roehrle, G., Martin, Benjamin   +7 more
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A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
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The geometric meaning of Zhelobenko operators [PDF]

, 2014
Peer ...
Sevastyanov, A.
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