rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Actions and invariants of algebraic groups
  name:
    name part: Ferrer Santos, Walter Ricardo
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2017
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xx, 459 pages : illustrations
  abstract: "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."--Provided by publisher
  table of contents: Chapter 1 Introduction -- chapter 2 Commutative algebra -- chapter 3 Algebraic subsets of the affine space -- chapter 4 Algebraic varieties -- chapter 5 Exercises -- chapter 1 Introduction -- chapter 2 Morphisms of algebraic varieties -- chapter 3 Complete varieties -- chapter 4 Singular points and normal varieties -- chapter 5 The Proj variety associated to a graded algebra -- chapter 6 Deeper results on morphisms -- chapter 7 Algebraic varieties and k-schemes -- chapter 8 Exercises -- chapter 1 Introduction -- chapter 2 Definitions and basic concepts -- chapter 3 The theorems of F. Engel and S. Lie -- chapter 4 Semisimple Lie algebras -- chapter 5 Cohomology of Lie algebras -- chapter 6 The theorems of H. Weyl and F. Levi -- chapter 7 p-Lie algebras -- chapter 8 Exercises -- chapter 1 Introduction -- chapter 2 Definitions and basic concepts -- chapter 3 Subgroups and homomorphisms -- chapter 4 Actions of affine groups on algebraic varieties -- chapter 5 Subgroups and semidirect products -- chapter 6 Exercises -- chapter 1 Introduction -- chapter 2 Hopf algebras and algebraic groups -- chapter 3 Rational G-modules -- chapter 4 The category of rational G-modules -- chapter 5 Representations of SL2 -- chapter 6 Characters and semi-invariants -- chapter 7 The Lie algebra associated to an affine algebraic group -- chapter 8 Explicit computations -- chapter 9 Exercises -- chapter 1 Introduction -- chapter 2 The Jordan decomposition of a single operator -- chapter 3 The Jordan decomposition of an algebra homomorphism and of a derivation -- chapter 4 The Jordan decomposition for coalgebras -- chapter 5 The Jordan decomposition for an affine algebraic group -- chapter 6 Unipotency and semisimplicity -- chapter 7 The solvable and the unipotent radical -- chapter 8 Structure of solvable groups -- chapter 9 The classical groups -- chapter 10 Exercises -- chapter 1 Introduction -- chapter 2 Actions: examples and first properties -- chapter 3 Basic facts about the geometry of t…
  note: Walter Ricardo Ferrer Santos, Alvaro Rittatore.
  note: Includes bibliographical references and indexes.
  subject:
    topic: Affine algebraic groups
  subject:
    topic: Invariants
  subject:
    topic: Groupes algébriques affines
  subject:
    topic: Invariants
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Affine algebraic groups
  subject:
    topic: Invariants
  classification: QA179 .F47 2016
  classification: 512/.2
  related item:
    title info:
      title: Actions and invariants of algebraic groups
    name:
      name part: Ferrer Santos, Walter Ricardo.
    origin info:
      publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]
      edition: Second edition.
    identifier: (DLC) 2016022439
    identifier: (OCoLC)950004317
  related item:
    title info:
      title: Actions and invariants of algebraic groups
    name:
      name part: Ferrer Santos, Walter Ricardo.
    origin info:
      edition: Second edition
    identifier: (DLC) 2016022439
    identifier: (OCoLC)974650274
  related item:
    title info:
      title: Monographs and research notes in mathematics
  identifier: 9781482239164
  identifier: 1482239167
  identifier: 9781315118482
  identifier: 1315118483
  identifier: 9781351644778
  identifier: 1351644777
  identifier: 9781482239157
  identifier: 1482239159
  identifier: 9781351644778 Ingram Content Group
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDXCP
    record creation date: 150910
    record change date: 20241111204708.6
    record identifier: in00005527568
    language of cataloging:
      language term: eng