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Symmetry, Representations, and Invariants
Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Represen...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Graduate Texts in Mathematics,
255 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-79852-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220114012811.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387798523 |9 978-0-387-79852-3 | ||
| 024 | 7 | |a 10.1007/978-0-387-79852-3 |2 doi | |
| 050 | 4 | |a QA174-183 | |
| 072 | 7 | |a PBG |2 bicssc | |
| 072 | 7 | |a MAT002010 |2 bisacsh | |
| 072 | 7 | |a PBG |2 thema | |
| 082 | 0 | 4 | |a 512.2 |2 23 |
| 100 | 1 | |a Goodman, Roe. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Symmetry, Representations, and Invariants |h [electronic resource] / |c by Roe Goodman, Nolan R. Wallach. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2009. | |
| 300 | |a XX, 716 p. 10 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 255 | |
| 505 | 0 | |a 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. | |
| 520 | |a Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: • Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus • Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux) • Self-contained chapters, appendices, comprehensive bibliography • More than 350 exercises (most with detailed hints for solutions) further explore main concepts • Serves as an excellent main text for a one-year course in Lie group theory • Benefits physicists as well as mathematicians as a reference work. | ||
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Universal algebra. | |
| 650 | 1 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a General Algebraic Systems. |
| 700 | 1 | |a Wallach, Nolan R. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387571218 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387798516 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441927293 |
| 830 | 0 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 255 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-387-79852-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||