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Lie algebras and algebraic groups

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Cover of 'Lie algebras and algebraic groups'

Table of Contents

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    Book Overview
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    Chapter 1 Results on topological spaces
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    Chapter 2 Rings and modules
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    Chapter 3 Integral extensions
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    Chapter 4 Factorial rings
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    Chapter 5 Field extensions
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    Chapter 6 Finitely generated algebras
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    Chapter 7 Gradings and filtrations
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    Chapter 8 Inductive limits
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    Chapter 9 Sheaves of functions
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    Chapter 10 Jordan decomposition and some basic results on groups
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    Chapter 11 Algebraic sets
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    Chapter 12 Prevarieties and varieties
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    Chapter 13 Projective varieties
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    Chapter 14 Dimension
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    Chapter 15 Morphisms and dimension
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    Chapter 16 Tangent spaces
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    Chapter 17 Normal varieties
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    Chapter 18 Root systems
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    Chapter 19 Lie algebras
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    Chapter 20 Semisimple and reductive Lie algebras
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    Chapter 21 Algebraic groups
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    Chapter 22 Affine algebraic groups
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    Chapter 23 Lie algebra of an algebraic group
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    Chapter 24 Correspondence between groups and Lie algebras
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    Chapter 25 Homogeneous spaces and quotients
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    Chapter 26 Solvable groups
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    Chapter 27 Reductive groups
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    Chapter 28 Borel subgroups, parabolic subgroups, Cartan subgroups
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    Chapter 29 Cartan subalgebras, Borel subalgebras and parabolic subalgebras
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    Chapter 30 Representations of semisimple Lie algebras
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    Chapter 31 Symmetric invariants
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    Chapter 32 S-triples
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    Chapter 33 Polarizations
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    Chapter 34 Results on orbits
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    Chapter 35 Centralizers
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    Chapter 36 σ-root systems
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    Chapter 37 Symmetric Lie algebras
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    Chapter 38 Semisimple symmetric Lie algebras
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    Chapter 39 Sheets of Lie algebras
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    Chapter 40 Index and linear forms
Overall attention for this book and its chapters
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40 Mendeley
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Title
Lie algebras and algebraic groups
Published by
Springer, January 2005
DOI 10.1007/b139060
ISBNs
978-3-54-024170-6, 978-3-54-027427-8
Authors

Tauvel, Patrice, Yu, Rupert W. T.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 40 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Spain 1 3%
Denmark 1 3%
China 1 3%
United States 1 3%
Unknown 36 90%

Demographic breakdown

Readers by professional status Count As %
Researcher 8 20%
Professor > Associate Professor 7 18%
Student > Ph. D. Student 7 18%
Student > Master 6 15%
Student > Bachelor 4 10%
Other 8 20%
Readers by discipline Count As %
Mathematics 22 55%
Physics and Astronomy 11 28%
Business, Management and Accounting 1 3%
Computer Science 1 3%
Unspecified 1 3%
Other 4 10%