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Results tagged with quadratic-forms
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user 8419
Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
12
votes
1
answer
2k
views
Orthogonal group of quadratic form
Orthogonal group of the quadratic form over fields, somehow, is well-studied. Indeed
E. Cartan has proved for quadratic forms over the reals or complexes that any
orthogonal transformation is a produ …
- 2,508
8
votes
2
answers
2k
views
Higher Composition Law
Prof M.Bhargava's work on "Higher Composition Law" which solved some outstanding conjectures on number theory seems to be very interesting topic. I have seen his papers but, in spite of the titles, it …
- 2,508
2
votes
2
answers
919
views
Spin Representation
I have been reading Cassels's book on "Rational Quadratic Forms". Most part of his book is written perfectly, but there is a chapter about the "Spin Representation" on his book, which I can not really …
- 2,508