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Compact Lie Groups (Hardcover, 2007 ed.)
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Compact Lie Groups (Hardcover, 2007 ed.)
Series: Graduate Texts in Mathematics, 235
Expected to ship within 12 - 17 working days
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Blending algebra, analysis, and topology, the study of compact Lie
groups is one of the most beautiful areas of mathematics and a key
stepping stone to the theory of general Lie groups. Assuming no
prior knowledge of Lie groups, this book covers the structure and
representation theory of compact Lie groups. It included the
construction of the Spin groups, Schur Orthogonality, the
Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus
Theorem, the Commutator Theorem, the Weyl Integration and Character
Formulas, the Highest Weight Classification, and the Borel-Weil
Theorem. The necessary Lie algebra theory is also developed in the
text with a streamlined approach focusing on linear Lie groups.
It's key features include: provides an approach that minimizes
advanced prerequisites; self-contained and systematic exposition
requiring no previous exposure to Lie theory; advances quickly to
the Peter-Weyl Theorem and its corresponding Fourier theory;
streamlined Lie algebra discussion reduces the differential
geometry prerequisite and allows a more rapid transition to the
classification and construction of representations; and exercises
sprinkled throughout. related topics, assumes familiarity with
elementary concepts from group theory, analysis, and manifold
theory. Students, research mathematicians and physicists interested
in Lie theory, will find this text very useful.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Graduate Texts in Mathematics, 235 |
Release date: |
December 2006 |
First published: |
2007 |
Authors: |
Mark R. Sepanski
|
Dimensions: |
235 x 155 x 14mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
201 |
Edition: |
2007 ed. |
ISBN-13: |
978-0-387-30263-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-387-30263-8 |
Barcode: |
9780387302638 |
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