Screen LibrarySymmetry, representations, and invariants
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | |
| Published: |
Springer,
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| Publisher Address: | Dordrecht [Netherlands] New York |
| Publication Dates: | c2009. |
| Literature type: | Book |
| Language: | English |
| Series: |
Graduate texts in mathematics ; 255 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-0-387-79852-3 |
| Item Description: | Representations and invariants of the classical groups. |
| Carrier Form: | xx, 716 p.: ill. ; 24 cm. |
| ISBN: |
9780387798523 (electronic bk.) 0387798528 (electronic bk.) |
| Index Number: | O152 |
| CLC: | O152.6 |
| Contents: |
"Symmetry, in the title of this book, should be understood as the geometry of Lie (and algebraic) group actions"--P. xv. "Based on 'Representations and invariants of the classical groups', Roe Goodman and Nolan R. Wallach, Cambridge University Press, 1998, third corrected printing 2003"--Page [iv]. Includes bibliographical references (p. 697-703) and indexes. Lie groups and algebraic groups -- Structure of classical groups -- Highest-weight theory -- Algebras and representations -- Classical invariant theory -- Spinors -- Character formulas -- Branching laws -- Tensor representations of GL(V) -- Tensor representations of O(V) and Sp(V) -- Algebraic groups and homogeneous spaces -- Representations on spaces of regular functions -- Algebraic geometry -- Linear and multilinear algebra -- Associative algebras and lie algebras - Manifolds and Lie groups. |