Coverart for item
The Resource Lie algebras and algebraic groups, Patrice Tauvel, Rupert W.T. Yu

Lie algebras and algebraic groups, Patrice Tauvel, Rupert W.T. Yu

Label
Lie algebras and algebraic groups
Title
Lie algebras and algebraic groups
Statement of responsibility
Patrice Tauvel, Rupert W.T. Yu
Creator
Contributor
Subject
Language
eng
Summary
"The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the final chapters. All the prerequisites on commutative algebra and algebraic geometry are included."--Jacket
Member of
Is part of
Cataloging source
COO
http://library.link/vocab/creatorName
Tauvel, Patrice
Dewey number
512/.482
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA252.3
LC item number
.T38 2005
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Yu, Rupert W. T
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Lie algebras
  • Linear algebraic groups
  • Lie, Algèbres de
  • Lie, Groupes de
  • Groupes algébriques affines
  • MATHEMATICS
  • Linear algebraic groups
  • Lie algebras
  • Lie algebras
  • Linear algebraic groups
Label
Lie algebras and algebraic groups, Patrice Tauvel, Rupert W.T. Yu
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 641-644) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Results on topological spaces -- Rings and modules -- Integral extensions -- Factorial rings -- Field extensions -- Finitely generated algebras -- Gradings and filtrations -- Inductive limits -- Sheaves of functions -- Jordan decomposition and some basic results on groups -- Algebraic sets -- Prevarieties and varieties -- Projective varieties -- Dimension -- Morphisms and dimension -- Tangent spaces -- Normal varieties -- Root systems -- Lie algebras -- Semisimple and reductive Lie algebras -- Algebraic groups -- Affine algebraic groups -- Lie algebra of an algebraic group -- Correspondence between groups and Lie algebras -- Homogeneous spaces and quotients -- Solvable groups -- Reductive groups -- Borel subgroups, parabolic subgroups and Cartan subgroups -- Cartan subalgebras, Borel subalgebras and parabolic subalgebras -- Representations of semisimple Lie algebras -- Symmetric invariants -- S-triples -- Polarizations -- Results on orbits -- Centralizers -- S -root systems -- Symmetric Lie algebras -- Semisimple symmetric Lie algebras -- Sheets of Lie algebras -- Index and linear forms -- References -- Index of notations -- Index of terminologies
Control code
62713538
Dimensions
unknown
Extent
1 online resource (xvi, 653 pages)
Form of item
online
Isbn
9783540241706
Lccn
2005922400
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b139060
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-24170-6
Specific material designation
remote
System control number
(OCoLC)62713538
Label
Lie algebras and algebraic groups, Patrice Tauvel, Rupert W.T. Yu
Publication
Bibliography note
Includes bibliographical references (pages 641-644) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Results on topological spaces -- Rings and modules -- Integral extensions -- Factorial rings -- Field extensions -- Finitely generated algebras -- Gradings and filtrations -- Inductive limits -- Sheaves of functions -- Jordan decomposition and some basic results on groups -- Algebraic sets -- Prevarieties and varieties -- Projective varieties -- Dimension -- Morphisms and dimension -- Tangent spaces -- Normal varieties -- Root systems -- Lie algebras -- Semisimple and reductive Lie algebras -- Algebraic groups -- Affine algebraic groups -- Lie algebra of an algebraic group -- Correspondence between groups and Lie algebras -- Homogeneous spaces and quotients -- Solvable groups -- Reductive groups -- Borel subgroups, parabolic subgroups and Cartan subgroups -- Cartan subalgebras, Borel subalgebras and parabolic subalgebras -- Representations of semisimple Lie algebras -- Symmetric invariants -- S-triples -- Polarizations -- Results on orbits -- Centralizers -- S -root systems -- Symmetric Lie algebras -- Semisimple symmetric Lie algebras -- Sheets of Lie algebras -- Index and linear forms -- References -- Index of notations -- Index of terminologies
Control code
62713538
Dimensions
unknown
Extent
1 online resource (xvi, 653 pages)
Form of item
online
Isbn
9783540241706
Lccn
2005922400
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b139060
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-24170-6
Specific material designation
remote
System control number
(OCoLC)62713538

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