[PDF] Top 20 Prime power lie algebras and finite p groups
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Prime power lie algebras and finite p groups
... of finite nilpotent p-Lie rings and finite p-groups and it is this situation we are interested ...a finite nilpotent p-Lie ring U of nilpotency class less ... See full document
118
The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence
... certain Lie subalgebras of div 0 n of finite ...The groups of automorphisms of infinite dimensional Lie algebras were considered in ...a Lie algebra G is called a maximal ... See full document
21
Growth of generating sets for direct powers of classical algebraic structures
... nontrivial finite simple classical structures are always logarithmic or ...for groups and Lie algebras; identity element/no identity element for rings and ...infinite groups and ... See full document
22
First cohomology groups for finite groups of Lie type in defining characteristic
... alternating groups are thought of as Lie type groups over the field of one element, then they are also covered by this ...characteristic p, then there is a prime p 0 such that ... See full document
13
Reduction groups and automorphic Lie algebras
... these algebras are quasigraded and find all structure ...semi-simple Lie algebra is a continuous Lie group and therefore its elements may depend on the complex parameter ...automorphic Lie ... See full document
22
On the Initial Subalgebra of a Graded Lie Algebra
... simple finite-dimensional Lie algebras over fields of prime characteristic, irreducible transitive finite dimensional graded Lie algebras play a fundamental role ...simple ... See full document
6
A Discourse On Applications Of Lie Groups And Lie Algebras
... formal groups, a finite dimensional example and reviewed the deformation theory and quantum ...the Lie group associated with a finite dimensional nilpotent Lie ...the finite ... See full document
6
The groups of automorphisms of the Witt W (n) and Virasoro Lie algebras
... a Lie subalgebra of G, it is the largest Lie subalgebra of G that contains H as an ...the Lie algebra G by the rule ad(a) : G → G, b 7→ [a, b], which is called the inner derivation associated with ... See full document
13
Symmetric Spaces as Riemannian Manifolds
... This paper tackles some geometrical and algebraic approaches, particularly lie algebra, disclosing some of their algebraic and topological properties with some concentration on lie algebras and root ... See full document
9
Finite groups with all maximal subgroups of prime or prime square index
... -It now follows that whenever G/G is a subdirect product of primitive solvable groups on a prime or prime square number of letters or if G/G} is any homomorphic image of such a group the[r] ... See full document
46
On certain finite linear groups of prime degree
... CHAPTER I INTRODUCTION In studying finite linear groups of fixed degree over the complex field, it is convenient to restrict attention to irreducible, unimodular, and quasiprimitive grou[r] ... See full document
48
Endotrivial modules for finite groups of Lie type
... Sylow p-subgroup P ...abelian p-subgroups of G is at least ...that P has a cyclic center and a unique central subgroup Z = hzi of order ...Let P = P/Z and G = ... See full document
25
On Characterizing Nilpotent Lie algebras by their Multipliers
... By Theorem 4, we know that c 2 + c ≤ 2t where c = dimL 2 and t= t(L). If t =21 then c 2 + c ≤ 42 which implies that c ≤ 6 therefore c = 0, 1, 2, 3, 4,5 or 6 but by proposition 0 (i.e. t ≤ ½n(n-1)) and since n= c+2 for ... See full document
77
Integral forms in vertex operator algebras, a survey
... Chevalley groups of types ADE (with graph outer automorphisms) as full automorphism groups of these VAs over ...Chevalley groups) acting on VAs and being essentially the full automorphism ... See full document
6
Maximal tori in finite groups of lie type
... between the conjugacy classes of maximal tori in the finite group and certain equivalence classes in the corresponding Weyl group... result, and its consequences, is discussed in Chapter[r] ... See full document
175
Centralizers in Lie algebras
... non-abelian finite dimensional Lie algebras over a specific ...of Lie algebras with abelian centralizers are studied and using a result of Bokut and Kukin [5], for a given residually ... See full document
11
Group Representations, Nilpotent Algebras and Finite Algebra Groups
... The work of Zoltan Halasi in 2003 concerned nilpotent algebras over finite fields and representations of the corresponding algebra groups. Specifically, the theorem proved by Halasi settled an open ... See full document
50
Lie $^*$-double derivations on Lie $C^*$-algebras
... < p, which was raised by ...< p; moreover, Gajda gave an example that a similar stability result does not hold for p = ...kxk p + kyk q by kxk p .kyk q for p, q ... See full document
9
Endotrivial modules for finite groups of Lie type A in nondefining characteristic
... Every one of the papers in this project has produced important advances for computing and determining endotrivial modules. This paper continues that devel- opment, presenting a significant improvement of a method ... See full document
26
Subideals of Lie algebras
... In [26] A.I.Mal'cev proves the existence of a connection between locally nilpotent torsion-free groups and locally nilpotent Lie algebras over the rational field, which relates the norma[r] ... See full document
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