Actions and Invariants of Algebraic Groups

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A01=Alvaro Rittatore
A01=Walter Ricardo Ferrer Santos
advanced algebraic group actions
affine
Affine Algebraic Group
affine homogeneous spaces
Affine Variety
Algebraic Group
Algebraic Subgroup
algebras
Author_Alvaro Rittatore
Author_Walter Ricardo Ferrer Santos
Borel Subgroup
Categorical Quotient
Category=PBF
Category=PBG
closed
Closed Normal Subgroup
Closed Subgroup
Closed Subset
commutative algebra
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Index
finitely
Finitely Generated
generated
geometric
geometric invariant theory
Geometric Quotient
Geometrically Reductive
Hilbert's fourteenth problem
Hopf Algebra
Irreducible Component
Jordan Decomposition
lie
Lie Algebra
Lie Subalgebra
Locally Nilpotent
Normal Subgroup
Observable Subgroup
observable subgroups
Open Subset
quotient
representation theory
Reynolds Operator
subgroup
Surjective Morphism
Unipotent Groups
variety

Product details

  • ISBN 9781482239157
  • Weight: 1020g
  • Dimensions: 178 x 254mm
  • Publication Date: 20 Dec 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Walter Ferrer Santos is a professor of mathematics at the University of the Republic, Montevideo, Uruguay. Alvaro Rittatore is an associate professor of mathematics at the University of the Republic, Montevideo, Uruguay.

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