Lie Groups and Lie Algebras: Chapters 4-6, Parts 4-6

Front Cover
Springer Science & Business Media, Jan 22, 2002 - Mathematics - 300 pages
0 Reviews

From the reviews of the French edition

"This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems". A historical note provides a survey of the contexts in which groups generated by reflections have arisen. A brief introduction includes almost the only other mention of Lie groups and algebras to be found in the volume. Thus the presentation here is really quite independent of Lie theory. The choice of such an approach makes for an elegant, self-contained treatment of some highly interesting mathematics, which can be read with profit and with relative ease by a very wide circle of readers (and with delight by many, if the reviewer is at all representative)." (G.B. Seligman in MathReviews)

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
III
2
IV
4
V
5
VI
7
VII
10
IX
12
X
13
LXVII
137
LXVIII
144
LXIX
150
LXX
155
LXXI
159
LXXII
160
LXXIII
164
LXXIV
165

XI
15
XIII
17
XIV
18
XV
19
XVI
21
XVII
22
XVIII
23
XIX
27
XX
29
XXI
31
XXII
44
XXIII
61
XXIV
62
XXV
64
XXVI
65
XXVII
67
XXVIII
68
XXIX
70
XXXI
71
XXXII
73
XXXIV
74
XXXV
76
XXXVI
77
XXXVII
78
XXXVIII
79
XXXIX
81
XL
82
XLI
84
XLII
86
XLIII
88
XLIV
89
XLV
91
XLVI
94
XLVIII
95
XLIX
96
L
97
LI
99
LII
101
LIII
102
LIV
103
LV
105
LVI
108
LVII
110
LVIII
112
LIX
117
LX
119
LXI
121
LXIII
122
LXIV
129
LXV
133
LXVI
134
LXXV
168
LXXVI
173
LXXVII
178
LXXVIII
179
LXXIX
180
LXXX
182
LXXXI
184
LXXXII
185
LXXXIII
186
LXXXIV
187
LXXXV
188
LXXXVI
190
LXXXVII
191
LXXXVIII
194
XC
195
XCI
196
XCII
199
XCIII
201
XCIV
207
XCV
210
XCVI
212
XCVII
214
XCVIII
216
XCIX
217
C
220
CI
223
CII
225
CIII
227
CIV
229
CV
231
CVI
233
CVII
235
CVIII
240
CIX
241
CX
242
CXI
249
CXII
255
CXIII
259
CXIV
261
CXV
265
CXVI
267
CXVII
269
CXVIII
271
CXIX
275
CXX
279
CXXI
283
CXXII
287
CXXIII
289
CXXIV
291
CXXV
293
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

About the author (2002)

Nicolas Bourbaki is the pseudonym for a group of mathematicians that included Henri Cartan, Claude Chevalley, Jean Dieudonne, and Andres Weil. Mostly French, they emphasized an axiomatic and abstract treatment on all aspects of modern mathematics in Elements de mathematique. The first volume of Elements appeared in 1939. Subsequently, a wide variety of topics have been covered, including works on set theory, algebra, general topology, functions of a real variable, topological vector spaces, and integration. One of the goals of the Bourbaki series is to make the logical structure of mathematical concepts as transparent and intelligible as possible. The books listed below are typical of volumes written in the Bourbaki spirit and now available in English.