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Groups of Lie Type and their Geometries

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading;

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Points and Lines

simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence;

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Groups, Combinatorics and Geometry

geometric methods in group theory; geometries and related groups; finite and algebraic groups of Lie type; finite permutation groups; further;

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Lie Groups

equations and the various geometries that had emerged. Since that time, there have been major advances in Lie theory, with ramifications for diverse;

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Geometries on Surfaces

and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries;

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Simple Groups of Lie Type

of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing;

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Quantization on Nilpotent Lie Groups

groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example;

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Quantization on Nilpotent Lie Groups

groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example;

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Modular Representations of Finite Groups of Lie Type

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively;

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Lévy Processes in Lie Groups

for their counterparts in Euclidean spaces. These properties reveal a deep connection between the behaviour of the stochastic processes and;

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Combinatorics Of Minuscule Representations

representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This;

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Geometry of Sporadic Groups

of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split;

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Geometry of Sporadic Groups

of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split;

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Aspects of Differential Geometry IV

affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries;

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Aspects of Differential Geometry IV

affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries;

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Parabolic Geometries I

of parabolic geometries is an equivalent description by a Cartan geometry modeled on a generalized flag manifold (the quotient of a semisimple Lie;

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Representations of Finite Groups of Lie Type

Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such;

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Representations of Finite Groups of Lie Type

Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such;

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Matrix Inequalities and Their Extensions to Lie Groups

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical;

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Lectures on Lie Groups and Lie Algebras

In this excellent introduction to the theory of Lie groups and Lie algebras, three of the leading figures in this area have written up;

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Lectures on Buildings

In mathematics, 'buildings' are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to;

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The Structure of Complex Lie Groups

representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups;

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The Structure of Complex Lie Groups

representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups;

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Encyclopedia of Mathematics and its Applications Geometry of Sporadic Groups

associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries;

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Geometries and Transformations

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and;

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Geometries, Groups and Algebras in the Nineteenth Century - A History

major players in the development of the subject in the nineteenth century: Jordan, who was a teacher of Lie and Klein in Paris and their;

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Finite Structures with Few Types. (AM-152), Volume 152

of permutation group theory, model theory, classical geometries, and combinatorics. The principal results are finite theorems, an associated analysis;

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