Lie theory, [...]. Unitary representations and compactifications of symmetric spaces

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Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, number theory, and mathematical physics. Three volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite- dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, number theory via Selberg's trace formula, and harmonic analysis through a far- reaching generalization of Harish-Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics. "Lie Theory: Unitary Representations, Number Theory, and Compactifications" contains work by A. Borel and L. Ji, T. Kobayashi and J.-P. Labesse. "Lie Theory: Lie Algebras and Representations" contains work by J. C. Jantzen and K.-H. Neeb. "Lie Theory: Harmonic Analysis on Symmetric Spaces" features work by E. van den Ban, P. Delorme, and H. Schlichtkrull.

Location: Deutsche Nationalbibliothek Frankfurt am Main

ISBN: 0817635262

Extent: X, 207 S.

Language: Englisch

Notes: graph. Darst.

Bibliographic citation: Lie theory
Progress in mathematics ; Vol. 229

Classification: Mathematik

Event: Veröffentlichung

(where): Boston, Basel, Berlin

(who): Birkhäuser

(when): 2005

Table of contents: https://d-nb.info/968748902/04

Rights: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.

Last update: 11.06.2025, 2:14 PM CEST

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Birkhäuser

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2005

Other Objects (12)

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Hochschulschrift

Compactifications of the heterotic string with unitary bundles

Hochschulschrift

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Hochschulschrift

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Hochschulschrift

Compactifications of the heterotic string with unitary bundles

Hochschulschrift

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Hochschulschrift

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Hochschulschrift

Compactifications of the heterotic string with unitary bundles

Hochschulschrift

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Hochschulschrift

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

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Lie theory, [...]. Unitary representations and compactifications of symmetric spaces

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Other Objects (12)

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Compactifications of the heterotic string with unitary bundles

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Compactifications of the heterotic string with unitary bundles

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections

Compactifications of symmetric spaces

Domains of holomorphy for irreducible unitary representations of simple Lie groups

Conway subgroup symmetric compactifications redux

Compactifications of the heterotic string with unitary bundles

Compactifications of subsemigroups of Lie groups

Minimal unitary representations from supersymmetry

1-Cocycles of unitary representations of infinite--dimensional unitary groups

Semibounded unitary representations of oscillator groups

Unitary representation theory of exponential Lie groups

Convergence of measures on compactifications of locally symmetric spaces

Symmetric-conjugate splitting methods for linear unitary problems

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