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Introduction to Lie Algebras and Representation Theory

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Introduction to Lie Algebras and Representation Theory

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作 者:Humphreys, James E.

出 版 社:Springer Verlag

出版时间:2005 年6月

I S B N:0387900535

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内容简介

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0,with emphasis on representations. A good knowledge of linear algebra (including eigenvalues,bilinear forms,Euclidean spaces,and tensor products of vector spaces)is presupposed,as well as some acquaintance with the methods of abstract algebra。The first four chapters might well be read by a bright undergraduate;however,the remaining three chapters are more demanding。This text grew out of lectures which the author gave at the N.S.F. Advanced Science Seminar on Algebraic Groups at Bowdoin College in 1968。

作者简介

James E. Humphreys,is Professor of Mathematics at the University of Massachusetts in Amherst。He taught previously at the University of Oregon and at New York University。His research interests include linear algebraic groups,Lie algebras,finite simple groups and algebraic K-theory.Dr.Humphreys graduated from Oberlin Collehge in 1961。He did graduate work in philosophy and mathematis at Cornell University and later received his Ph.D.from Yale Univer.. << 查看详细

目录

1 takeuti/zaring.introduction to axiomatic set theory.2nd ed
2 oxtoby.measure and category.2nd ed
3 schaefer.topological vector spaces.2nd ed
4 hilton/stammbach.a course in homological algebra.2rid ed.
5 mac lane.categories for the working mathematician.2nd ed.
6 hughes/piper.projective planes
7 serre.a course in arithmetic
8 takeuti/zaring.axiomatic set theory
9 humphreys.introduction to lie algebras and representation theory
10 cohen.a course in simple homotopy theory
11 conway.functions of one complex variable i.2nd ed
12 beals.advanced mathematical analysis
13 anderson/fuller.rings and categories of modules.2nd ed.
14 golub1tsky/guillemin.stable mappings and their singularities
15 berberian.lectures in functional analysis and operator theory
16 winter.the structure of fields
17 rosenblatt.random processes.2nd ed
18 halmos.measure theory
19 halmos.a hilbert space problem book. 2nd ed
20 husemoller,fibre bundles.3rd ed
.21 humphreys.linear algebraic groups
22 barnes/mack.an algebraic introduction to mathematical logic
23 greub.linear algebra.4th ed
24 holmes.geometric functional analysis and its applications
25 hewitt/stromberg.real and abstract analysis
26 manes.algebraic theories
27 kelley.general topology
28 zariski/samuel.commutative algebra. vol.i
29 zaeskl/samuel.commutative algebra. vol.ii
30 jacobson.lectures in abstract algebra 1. basic concepts
31 jacobson.lectures in abstract algebra ii.linear algebra
32 jacobson.lectures in abstract algebra ill.theory of fields and galois theory
33 hirsch.differential topology
34 seltzer.principles of random walk. 2nd ed
35 alexander/wermer.several complex variables and banach algebras.3rd ed
36 kelley/namioka et al.linear topological spaces
37 monk.mathematical logic
38 grauert/fritzsche.several complex variables
39 arveson.an invitation to c*-algebras
40 kemeny/snell/knapp.denumerable markov chains.2nd ed
41 apostol.modular functions and dirichlet series in number theory. 2nd ed
42 serre.linear representations of finite groups
43 gillman/jerson.rings of continuous functions
44 kendig.elementary algebraic geometry
45 loeve.probability theory ⅰ.4th ed
46 loeve.probability theory ⅱ.4th ed
47 moise.geometric topology in dimensions 2 and 3
48 sachs/wu.general relativity for mathematicians
49 gruenberg/weir.linear geometry. 2nd ed
50 edwards.fermat’s last theorem
51 klingenberg a course in differential geometry
52 hartshorne.algebraic geometry
53 mann.a course in mathematical logic
54 graver/watkins.combinatorics with emphasis on the theory of graphs
55 brown/pearcy.introduction to operator theory i: elements of functional analysis
56 massey.algebraic topology: an introduction
57 crowellfox.introduction to knot theory
58 koblitz.p-adic numbers,p-adic analysis,and zeta-functions.2nd ed
59 lang.cyclotomic fields
60 arnold.mathematical methods inclassical mechanics.2nd ed
61 whitehead.elements of homotopy theory
62 kargapolov/merlzjakov.fundamentalsof the theory of groups
63 bollobas.graph theory
64 edwards.fourier series.vol.i.2nd ed
65 wells.differential analysis on complex manifolds.2nd ed

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