Description

Book Synopsis
Intended for graduate students who have completed standard courses in linear algebra and abstract algebra, this title provides a single source for the basic facts about the classical groups and also includes the required geometrical background information from the first principles.

Table of Contents
Permutation actions The basic linear groups Bilinear forms Symplectic groups Symmetric forms and quadratic forms Orthogonal geometry (char $F\not= 2$) Orthogonal groups (char $F \not= 2$), I $O(V)$, $V$ Euclidean Clifford algebras (char $F \not = 2$) Orthogonal groups (char $F \not = 2$), II Hermitian forms and unitary spaces Unitary groups Orthogonal geometry (char $F = 2$) Clifford algebras (char $F = 2$) Orthogonal groups (char $F = 2$) Further developments Bibliography List of notation Index.

Classical Groups and Geometric Algebra

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Classical Groups and Geometric Algebra by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2001 12:00:00 AM
      ISBN13: 9780821820193, 978-0821820193
      ISBN10: 0821820192

      Description

      Book Synopsis
      Intended for graduate students who have completed standard courses in linear algebra and abstract algebra, this title provides a single source for the basic facts about the classical groups and also includes the required geometrical background information from the first principles.

      Table of Contents
      Permutation actions The basic linear groups Bilinear forms Symplectic groups Symmetric forms and quadratic forms Orthogonal geometry (char $F\not= 2$) Orthogonal groups (char $F \not= 2$), I $O(V)$, $V$ Euclidean Clifford algebras (char $F \not = 2$) Orthogonal groups (char $F \not = 2$), II Hermitian forms and unitary spaces Unitary groups Orthogonal geometry (char $F = 2$) Clifford algebras (char $F = 2$) Orthogonal groups (char $F = 2$) Further developments Bibliography List of notation Index.

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