Analysis on Lie groups : an introduction / Jacques Faraut.
Material type: TextLanguage: 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.)
- 512.482 22 FAR
Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
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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