Results 151 to 160 of about 1,304,850 (179)

Finite simple unisingular groups of Lie type

Journal of Group Theory, 2003
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Guralnick, Robert M., Pham Huu Tiep
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The Dual Space of Semi-Simple Lie Groups

American Journal of Mathematics, 1969
Introduction. This paper is inspired by Kazhdan's work [8]. In [8], he has studied the structure of lattices, i.e., discrete subgroups with finite invariant measure on the factor space, of a Lie group by investigating a particular topological property of the dual space of a Lie group. Let G be a separable locally compact group and G its dual space.
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Cartan Decompositions and Semigroups of Simple Lie Groups

Journal of Lie Theory, 2018
Let G be a split real connected simple Lie group and S a semigroup of G that contains a subgroup G(α) for an arbitrary root α, isomorphic to SL(2,R). We present a Cartan decomposition of the Lie algebra of G, related to α, invariant by the adjoint action of the Lie algebra sl(2,R) that allows to characterize some properties of the Lie saturate of the ...
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A Poisson Formula for Semi-Simple Lie Groups

The Annals of Mathematics, 1963
for some bounded function h on the boundary of the disc. The function h(z) determines a function h(g) on G by setting h(g) = h(g(O)). If h(z) is harmonic, it may be shown that h(g) is annihilated by a certain class of differential operators on G. The Poisson formula (1) may be used to express h(g), and we find that here it takes on a particularly ...
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Commutators in Finite Simple Groups of Lie Type

Bulletin of the London Mathematical Society, 2000
Summary: Using properties of the Steinberg character, we obtain a congruence modulo \(p\) for the number of ways in which a \(p\)-regular element may be expressed as a commutator in a finite simple group \(G\) of Lie type of characteristic \(p\). This congruence shows that such an element is a commutator in \(G\).
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Differential calculus on quantized simple lie groups

Letters in Mathematical Physics, 1991
The author introduces a generalization of \textit{S. L. Woronowicz}'s [Commun. Math. Phys. 122, 125-170 (1989; Zbl 0751.58042)] four dimensional differential calculus on \(SU_ q(2)\) to the case of an arbitrary simple classical quantum group in a constructive way.
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Simple Groups and Simple Lie Algebras

Journal of the London Mathematical Society, 1965
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Finitary Simple Lie Algebras

Journal of Algebra, 1999
A A Baranov
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Biderivations of finite-dimensional complex simple Lie algebras

Linear and Multilinear Algebra, 2018
Xiaomin Tang
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