Quadratic Forms
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Home > Art, Film & Photography > Quadratic Forms: Clifford Algebra, Discriminant, Orthogonal Group, Quadratic Form, E8 Lattice, Surgery Theory
Quadratic Forms: Clifford Algebra, Discriminant, Orthogonal Group, Quadratic Form, E8 Lattice, Surgery Theory

Quadratic Forms: Clifford Algebra, Discriminant, Orthogonal Group, Quadratic Form, E8 Lattice, Surgery Theory


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 50. Chapters: Clifford algebra, Discriminant, Orthogonal group, Quadratic form, E8 lattice, Surgery theory, Proofs of Fermat's theorem on sums of two squares, Arf invariant, Smith-Minkowski-Siegel mass formula, Leech lattice, Projective orthogonal group, Point reflection, Unimodular lattice, -quadratic form, Class number formula, L-theory, Binary quadratic form, Sylvester's law of inertia, Hilbert symbol, Surgery structure set, Buchi's Problem, Niemeier lattice, Oppenheim conjecture, Kaplansky's theorem on quadratic forms, Signature, 15 and 290 theorems, Hasse-Minkowski theorem, Witt group, Isotropic quadratic form, Markov spectrum, Coxeter-Todd lattice, Barnes-Wall lattice, Meyer's theorem, Donaldson's theorem, Pfister form, Tensor product of quadratic forms, Hilbert's eleventh problem, Definite quadratic form, Hasse invariant of a quadratic form. Excerpt: In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions. The theory of Clifford algebras is intimately connected with the theory of quadratic forms and orthogonal transformations. Clifford algebras have important applications in a variety of fields including geometry and theoretical physics. They are named after the English geometer William Kingdon Clifford. Specifically, a Clifford algebra is a unital associative algebra which contains and is generated by a vector space V equipped with a quadratic form Q. The Clifford algebra C (V, Q) is the "freest" algebra generated by V subject to the condition If the characteristic of the ground field K is not 2, then one can rewrite this fundamental identity in the form where = 1/2(Q(u + v) Q(u) Q(v)) is the symmetric bilinear form associated to Q, via the polarization identity. The idea of being the "freest" o.


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Product Details
  • ISBN-13: 9781156576663
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 190
  • Spine Width: 10 mm
  • Weight: 349 gr
  • ISBN-10: 1156576660
  • Publisher Date: 15 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Clifford Algebra, Discriminant, Orthogonal Group, Quadratic Form, E8 Lattice, Surgery Theory
  • Width: 189 mm


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