Normale Ansicht MARC ISBD

Lie groups Daniel Bump

Von:

Bump, Daniel, 1952- [aut]

Materialtyp: Text

TextSprache: Englisch Reihen: ; 22500 | Graduate texts in mathematics ; 225Verlag: New York, NY Berlin Heidelberg [u.a.] Springer 2004Beschreibung: XI, 451 S graph. DarstInhaltstyp:

Text

Medientyp:

ohne Hilfsmittel zu benutzen

Datenträgertyp:

Band

ISBN:

0387211543

Schlagwörter:

Genre/Form:

Lehrbuch

LOC-Klassifikation:

QA387

Andere Klassifikation:

17,1
SK 340
SI 990
*22-01
22Exx
22C05
20Cxx
53C35
11Fxx
31.21
31.30
31.65
31.43

Online-Ressourcen:

Inhalte:

Bearbeitungsvermerk:

Archivierung/Langzeitarchivierung gewährleistet PEBW

Zusammenfassung: This book is intended for a one year graduate course on Lie groups. Rather than providing a comprehensive treatment, the author emphasizes the beautiful representation theory of compact groups. However, this book also discusses important topics such as the Bruhat decomposition and the theory of symmetric spaces. TOC:Haar Measure * Schur Orthogonality * Compact Operators * The Peter-Weyl Theorem * Lie Subgroups of GL(n, C) * Vector Fields * Left Invariant Vector Fields * The Exponential Map * Tensors and Universal Properties * The Universal Enveloping Algebra * Extension of Scalars * Representations of sl(2, C) * The Universal Cover * The Local Frobenius Theorem * Tori * Geodesics and Maximal Tori * Topological proof of Cartan?s Theorem * The Weyl Integration Formula * The Root System * Examples of Root Systems * Abstract Weyl Groups * The Fundamental Group * Semisimple Compact Groups * Highest Weight Vectors * The Weyl Character Formula * Spin * Complexification * Coxeter Groups * The Iwasawa Decomposition * The Bruhat Decomposition * Symmetric Spaces * Relative Root Systems.* Embeddings of Lie Groups * Mackey Theory * Characters of GL(n, C) * Duality between Sk and GL(n, C) * The Jacobi-Trudi Identity * Schur Polynomials and GL(n, C) * Schur Polynomials and Sk * Random Matrix Theory * Minors of Toeplitz Matrices * Branching Formulae and Tableaux * The Cauchy Identity * Unitary branching rules * The Involution Model for Sk * Some Symmetric Algebras * Gelfand Pairs * Hecke Algebras * Cohomology of Grassmannians

Exemplare ( 1 )
Titelinformationen ( 4 )

Exemplare
Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (B)	GTM 225 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000202349

Regale von HOMEBRANCH: Universität des Saarlandes Fachrichtung Mathematik durchstöbern, Standort: Series (B), Sammlung: Campusbibliothek für Informatik und Mathematik (E2 3) Regalbrowser ausblenden (Regal ausblenden)

Zurück								Weiter
Zurück	GTM 22 An algebraic introduction to mathematical logic	GTM 2,2 Measure and category a survey of the analogies between topological and measure spaces	GTM 22 2.Ex An algebraic introduction to mathematical logic	GTM 225 Lie groups	GTM 226 Spaces of holomorphic functions in the unit ball	GTM 228 A first course in modular forms	GTM 23 Linear algebra	Weiter

Literaturverz. S. [438] - 445

This book is intended for a one year graduate course on Lie groups. Rather than providing a comprehensive treatment, the author emphasizes the beautiful representation theory of compact groups. However, this book also discusses important topics such as the Bruhat decomposition and the theory of symmetric spaces. TOC:Haar Measure * Schur Orthogonality * Compact Operators * The Peter-Weyl Theorem * Lie Subgroups of GL(n, C) * Vector Fields * Left Invariant Vector Fields * The Exponential Map * Tensors and Universal Properties * The Universal Enveloping Algebra * Extension of Scalars * Representations of sl(2, C) * The Universal Cover * The Local Frobenius Theorem * Tori * Geodesics and Maximal Tori * Topological proof of Cartan?s Theorem * The Weyl Integration Formula * The Root System * Examples of Root Systems * Abstract Weyl Groups * The Fundamental Group * Semisimple Compact Groups * Highest Weight Vectors * The Weyl Character Formula * Spin * Complexification * Coxeter Groups * The Iwasawa Decomposition * The Bruhat Decomposition * Symmetric Spaces * Relative Root Systems.* Embeddings of Lie Groups * Mackey Theory * Characters of GL(n, C) * Duality between Sk and GL(n, C) * The Jacobi-Trudi Identity * Schur Polynomials and GL(n, C) * Schur Polynomials and Sk * Random Matrix Theory * Minors of Toeplitz Matrices * Branching Formulae and Tableaux * The Cauchy Identity * Unitary branching rules * The Involution Model for Sk * Some Symmetric Algebras * Gelfand Pairs * Hecke Algebras * Cohomology of Grassmannians

Archivierung/Langzeitarchivierung gewährleistet PEBW pdager DE-31