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For compact Lie groups, the book covers the Peter¿Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius¿Schur duality and GL(n) × GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations.
For compact Lie groups, the book covers the Peter¿Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius¿Schur duality and GL(n) × GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations.
Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998).
New edition extensively revised and updated
Includes new material on random matrix theory, such as the Keating-Snaith formula
Contains material on the use of Sage for Lie group problems
Includes more exercises that provide motivation for the reader
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xiii
551 S. 90 s/w Illustr. 551 p. 90 illus. |
| ISBN-13: | 9781493938421 |
| ISBN-10: | 1493938428 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Bump, Daniel |
| Auflage: | Softcover reprint of the original 2nd edition 2013 |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 31 mm |
| Von/Mit: | Daniel Bump |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,85 kg |
Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998).
New edition extensively revised and updated
Includes new material on random matrix theory, such as the Keating-Snaith formula
Contains material on the use of Sage for Lie group problems
Includes more exercises that provide motivation for the reader
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xiii
551 S. 90 s/w Illustr. 551 p. 90 illus. |
| ISBN-13: | 9781493938421 |
| ISBN-10: | 1493938428 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Bump, Daniel |
| Auflage: | Softcover reprint of the original 2nd edition 2013 |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 31 mm |
| Von/Mit: | Daniel Bump |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,85 kg |
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