Fine copy in the original gilt-blocked cloth. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xxxviii, 645 pp., illustrations, 26 cm. Subjects; Semigroups. Convex bodies. Lie groups. Algebra. Mathematics. 1 Kg.

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Detalles bibliogr�ficos

T�tulo

Lie groups, convex cones, and semigroups / Joachim Hilgert, Karl Heinrich Hofmann, and Jimmie D. Lawson

Editor

Oxford New York : Clarendon Press ; Oxford University Press

Fecha de publicaci�n

1989

Idioma

Ingl�s

ISBN 10

0198535694

ISBN 13

9780198535690

Encuadernaci�n

Encuadernaci�n de tapa dura

Edici�n

1st edition.

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Sinopsis

The geometry of convex cones has in recent years come to play an important role in the development of the Lie theory of sub-semigroups of Lie groups. This book attempts to provide an account of this theory and indicates its wide-ranging application to representation theory of Lie groups. In the spirit of classical Lie theory, the authors first develop the infinitesimal theory of Lie sub-semigroups which culminates in a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automorphisms. The book then discusses the local Lie theory for semigroups before providing an account of the global theory for the existence of sub-semigroups with a given set of infinitesimal generators. Pre-requisites are little more than standard Lie theory and throughout many examples such as the real special linear groups, the Heisenberg group, and Lie groups containing contraction semigroups are discussed in detail. As a whole, the book should provide an accessible account of this new material and indicates its wide-ranging application to systems theory, geometric control theory, causality on homogeneous spaces, symmetric domains, and the representation theory of Lie groups.

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MW Books Limited
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