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: Jordan Algebras and Algebraic Groups
  name:
    name part: Springer, Tonny A.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1973
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 172 pages)
  abstract: From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one all-encompassing miracle of root systems. ..." (Math. Reviews).
  table of contents: Preliminaries -- J-structures -- Examples -- The Quadratic Map of a J-structure -- The Lie Algebras Associates with a J-structure -- J-structures of Low Degree -- Relation with Jordan Algebras -- Relation with Quadratic Jordan Algebras -- The Minimum Polynomial of an Element -- Ideals, the Radical -- Peirce Decomposition Defined by an Idempotent Element -- Classification of Certain Algebraic Groups. Strongly Simple J-structures -- Simple J-structures -- The Structure Group of a Simple J-structure and the Related Lie Algebras -- Rationality Questions.
  note: by Tonny A. Springer.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Group theory
  subject:
    topic: Algebra
  subject:
    topic: Algebra
  subject:
    topic: Group theory
  subject:
    topic: Mathematics
  classification: QA252-252.5
  classification: 512.48
  related item:
    title info:
      title: Classics in mathematics ; 75
  identifier: 9783642619700 (electronic bk.)
  identifier: 3642619703 (electronic bk.)
  identifier: 9783540636328
  identifier: 3540636323
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422154118.1
    record identifier: in00003579886
    language of cataloging:
      language term: eng