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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.

2 votes

space of reduced positive definite quadratic forms

I very much enjoy Douglas Grenier's "Fundamental Domains for the General linear group", Pacific J. of Math., Vol 132, 2, 1988, wherein fundamental domains $F_n$ for the symmetric spaces $S_n \simeq SL …
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1 vote
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Lorentz quotient and orientation

This particular question (``consistently orienting the reductions") and all those arising from your above link are interesting. However, the answer to this question seems `easy' -- and i'm wondering …
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