Results 71 to 80 of about 1,304,850 (179)

Finite simple groups of Lie type as expanders

Journal of the European Mathematical Society, 2011
We prove that all finite simple groups of Lie type, with the exception of the Suzuki groups, can be made into a family of expanders in a uniform way. This confirms a conjecture of Babai, Kantor and Lubotzky from 1989, which has already been proved by Kassabov for sufficiently large rank.
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Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for ...
Milena Svobodová
doaj  

The Unipotency of Eleventh Order Matrix Group with no More than Seven Jordan Blocks

Journal of Harbin University of Science and Technology
By avoiding complex research methods involving Lie algebra and Lie superalgebra, and instead utilizing simple theories such as matrix logarithm and expansion of product of non commutative polynomial, the new combination property of primitive elements of ...
YANG Xinsong, GAO Yunfeng
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The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
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Maximal Subgroups of Compact Lie Groups

, 2013
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) those of trivial type, which ...
Antoneli, Fernando, Forger, Michael, Gaviria, Paola   +2 more
core  

Group Gradings on Simple Lie Algebras of Type "A"

, 2005
In this paper we describe all group gradings by a finite abelian group G of any Lie algebra L of the type "A" over algebraically closed field F of characteristic zero.
Bahturin, Yuri, Zaicev, Mikhail
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Toda systems and exponents of simple Lie groups

Bulletin des Sciences Mathématiques, 2001
The authors study some aspects of the Bogoyavlensky Toda systems of \(A_n\), \(B_n\) and \(C_n\) types. The results include master symmetries, recursion operators, higher Poisson brackets and invariants presented both in Flaschka's and in natural coordinates.
Nunes Da Costa, J. M., Damianou, Pantelis A., Nunes Da Costa, J. M., Damianou, Pantelis A.   +3 more
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Dirac sources for nonmetricity and torsion in metric-affine gravity

European Physical Journal C: Particles and Fields
Metric-affine gravity (GL(4) gauge theory) in 4-dimensions is coupled to a spacetime Dirac source field using the isomorphisms of the Lie algebra gl(4) to the Clifford algebras Cl(3,1) and Cl(2,2). A simple transformation relates the generators of Cl(3,1)
James T. Wheeler
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Quasirandom and quasisimple groups

Discrete Analysis
Quasirandom and quasisimple groups, Discrete Analysis 2025:21, 24 pp. A quasirandom family of groups is a sequence of finite groups $(G_n)$ such that the smallest dimension of a non-trivial irreducible representation of $G_n$ tends to infinity with $n$.
Marco Barbieri, Luca Sabatini
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Simple Finite Jordan Pseudoalgebras

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie algebra over C, Γ is an arbitrary
Pavel Kolesnikov
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