Some extensions of Witt's theorem†

DOI10.1080/03081080701577171zbMath1218.11039arXiv0705.3839OpenAlexW1992565104MaRDI QIDQ3633144

Huajun Huang

Publication date: 17 June 2009

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3839

zbMATH Keywords

isometryWitt's theoremWitt decompositionflag of subvector spaces

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Bilinear and Hermitian forms (11E39) Quadratic and bilinear forms, inner products (15A63)

Related Items (3)

Real Group Orbits on Flag Ind-Varieties of $$\mathrm {SL}(\infty ,\mathbb {C})$$ SL ( ∞ , C ) ⋮ Ind-varieties of generalized flags: a survey ⋮ Symmetric subgroup actions on isotropic Grassmannians

Cites Work

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• Absolute stable rank and Witt cancellation for noncommutative rings
• On the orthogonal groups of unimodular quadratic forms
• Witt's theorem for noncommutative semilocal rings
• Subspaces of positive definite inner product spaces of countable dimension
• On Witt's theorem for unimodular quadratic forms
• Integral equivalence of vectors over local modular lattices
• Witt theorems for orthogonal Lie algebras
• A note on the integral equivalence of vectors in characteristic 2
• Integral equivalence of vectors over local modular lattices. II
• On Witt's theorem for unimodular quadratic forms. II
• Witt's Theorem for Modular Lattices
• Associated Vectors in Lattices Over Valuation Rings
• The Integral Extension of Isometries of Quadratic Forms Over Local Fields
• An Invariant for Integral Equivalence
• Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. (Teil I.).
• Equivalence of Quadratic Forms

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