Screen LibraryAnalysis on Lie groups：an introduction
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| Main Authors: | |
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| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge, UK New York |
| Publication Dates: | 2008. |
| Literature type: | Book |
| Language: | English |
| Series: |
Cambridge studies in advanced mathematics ; 110 |
| Subjects: | |
| Carrier Form: | x, 302 p.: ill. ; 24 cm. |
| ISBN: |
9780521719308 (hbk.) 0521719305 (hbk.) |
| Index Number: | O152 |
| CLC: | O152.5 |
| Call Number: | O152.5/F219 |
| Contents: |
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. |