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1. Lie groups [2013]
 Bump, Daniel, 1952 author.
 Second edition.  New York: Springer, [2013]
 Description
 Book — xiii, 551 pages 25 cm.
 Summary

 Compact groups
 Haar measure
 Schur orthogonality
 Compact operators
 The PeterWeyl theorem
 Compact lie groups
 Lie subgroups of GL (n, C)
 Vector fields
 Leftinvariant vector fields
 The exponential map
 Tensors and universal properties
 The universal enveloping algebra
 Extension of scalars
 Representations of s1 (2, C)
 The universal cover
 The local Frobenius theorem
 Tori
 Geodesics and maximal tori
 The Weyl integration formula
 The root system
 Examples of root systems
 Abstract Weyl groups
 Highest weight vectors
 The Weyl character formula
 The fundamental group
 Noncompact lie groups
 Complexification
 Coxeter groups
 The borel subgroup
 The Bruhat decomposition
 Symmetric spaces
 Relative root systems
 Embeddings of lie groups
 Spin
 Duality and other topics
 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
 The Cauchy identity
 Random matrix theory
 Symmetrie group branching rules and tableaux
 Unitary branching rules and tableaux
 Minors of Toeplitz matrices
 The involution model for Sk
 Some symmetric algebras
 Gelfand pairs
 Hecke algebras
 The philosophy of cusp forms
 Cohomology of grassmannians
 Appendix : Sage
 References
 Index.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA387 .B76 2013  Unknown 
MATH210C01
 Course
 MATH210C01  Lie Theory
 Instructor(s)
 Bump, Daniel W