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ISBN: 9782879710792 2879710790 Year: 2011 Publisher: Luxembourg University of Luxembourg
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Book
ISBN: 9783642110122 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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A. Figá Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet: Représentations des groupes linéaires p-adiques.- G.W. Mackey: Infinite-dimensional group representations and their applications.
Digital
ISBN: 9783642110122 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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ISBN: 9783642109379 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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R. Baer: Complementation in finite gropus.- M. Lazard: Groupes, anneaux de Lie et problème de Burnside.- J. Tits: Sur les groupes algébriques afffines. Théorèmes fondamentaux de structure. Classification des groupes semisimples et géométries associées.
Group theory --- Topological groups. Lie groups --- topologie (wiskunde) --- wiskunde
Book
ISBN: 9783642183997 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.
Topological groups. Lie groups --- Geometry --- landmeetkunde --- topologie (wiskunde)
Book
ISBN: 9783642211478 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings.
Algebra --- Topological groups. Lie groups --- algebra --- topologie (wiskunde)
Digital
ISBN: 9783642109379 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Group theory --- Topological groups. Lie groups --- topologie (wiskunde) --- wiskunde
Digital
ISBN: 9783642156274 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Topological groups. Lie groups --- Geometry --- topologie (wiskunde) --- geometrie
Digital
ISBN: 9783642183997 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Topological groups. Lie groups --- Geometry --- landmeetkunde --- topologie (wiskunde)
Digital
ISBN: 9783642211478 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Algebra --- Topological groups. Lie groups --- algebra --- topologie (wiskunde)
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