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1 Tangent Lie algebras to Lie groups
2 Simply Connected Lie Groups
3 The universal enveloping algebra
4 Universality of Ug
5 The PBW Theorem and Deformations
6 Lie algebra cohomology
7 Engel’s Theorem and Lie’s Theorem
8 Cartan Criterion, Whitehead and Weyl Theorems
9 The root system of a semisimple Lie algebra
10 Dynkin diagrams, Classification of root systems
11 Serre’s Theorem
12 Constructions of Exceptional simple Lie Algebras
13 Representations of Lie algebras
14 The Weyl character formula
15 Compact Lie groups
16 An overview of Lie groups
17 Clifford algebras
18 Clifford groups, Spin groups, and Pin groups
19 Spin representations of Spin and Pin groups
20 E8
21 Construction of E8
22 Construction of the Lie group of E8
23 Working with simple Lie groups
24 Irreducible unitary representations of SL2 (R)
25 Unitary representations of SL2 (R)
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Lie Groups And Lie Algebras
Robert Glimore
Robert Glimore
Table of Contents
2 Simply Connected Lie Groups
3 The universal enveloping algebra
4 Universality of Ug
5 The PBW Theorem and Deformations
6 Lie algebra cohomology
7 Engel’s Theorem and Lie’s Theorem
8 Cartan Criterion, Whitehead and Weyl Theorems
9 The root system of a semisimple Lie algebra
10 Dynkin diagrams, Classification of root systems
11 Serre’s Theorem
12 Constructions of Exceptional simple Lie Algebras
13 Representations of Lie algebras
14 The Weyl character formula
15 Compact Lie groups
16 An overview of Lie groups
17 Clifford algebras
18 Clifford groups, Spin groups, and Pin groups
19 Spin representations of Spin and Pin groups
20 E8
21 Construction of E8
22 Construction of the Lie group of E8
23 Working with simple Lie groups
24 Irreducible unitary representations of SL2 (R)
25 Unitary representations of SL2 (R)
Note: When you open MultiHost link below to MultiHost you can find 4 file hosting sites links in which you can download with your desired hosting site
Click Here To Download
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