Lie Algebras and Algebraic Groups [electronic resource] / by Patrice Tauvel, Rupert W. T. Yu.
By: Tauvel, Patrice [author.].
Contributor(s): Yu, Rupert W. T [author.]  SpringerLink (Online service).
Material type: TextSeries: Springer Monographs in Mathematics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XVI, 656 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540274278.Subject(s): Algebra  Topological Groups  Geometry, algebraic  Group theory  Algebra  Nonassociative Rings and Algebras  Topological Groups, Lie Groups  Algebraic Geometry  Group Theory and GeneralizationsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 512 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB965 
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, Cartan subgroups  Cartan subalgebras, Borel subalgebras and parabolic subalgebras  Representations of semisimple Lie algebras  Symmetric invariants  Striples  Polarizations  Results on orbits  Centralizers  ?root systems  Symmetric Lie algebras  Semisimple symmetric Lie algebras  Sheets of Lie algebras  Index and linear forms.
The theory of Lie algebras and algebraic groups has been an area of active research in 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 foundation of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the last chapters. All the prerequisites on commutative algebra and algebraic geometry are included.
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Lie algebras and algebraic groups by Tauvel Patrice 
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