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Analysis on Lie groups : an introduction / Jacques Faraut.

By: Material type: TextTextLanguage: English Series: Cambridge studies in advanced mathematics ; 110Publication details: Cambridge, UK ; New York : Cambridge University Press, 2008.Description: x, 302 p. : ill. ; 24 cmISBN:
  • 9780521719308 (hbk.)
  • 0521719305 (hbk.)
Subject(s): DDC classification:
  • 512.482 22 FAR
Online resources:
Contents:
The linear group The exponential map Linear Lie groups Lie algebras Haar measure Representations of compact groups The groups SU(2) and SO(3), Haar measure Analysis on the group SU(2) Analysis on the sphere and the Euclidean space Analysis on the spaces of symmetric and Hermitian matrices Irreducible representations of the unitary group Analysis on the unitary group
Summary: Analysis and Lie groups comprise an eclectic group of topics, which can be treated from different perspectives. This text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus
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Item type Current library Call number Status Date due Barcode
Project book Project book CUTN Central Library 512.482 FAR (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 31/01/2024 48878

Includes bibliographical references (p. 299-300) and index.

The linear group
The exponential map
Linear Lie groups
Lie algebras
Haar measure
Representations of compact groups
The groups SU(2) and SO(3), Haar measure
Analysis on the group SU(2)
Analysis on the sphere and the Euclidean space
Analysis on the spaces of symmetric and Hermitian matrices
Irreducible representations of the unitary group
Analysis on the unitary group

Analysis and Lie groups comprise an eclectic group of topics, which can be treated from different perspectives. This text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus

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