On spinor exceptional representations

DOI10.1017/S0027763000020031zbMath0455.10013OpenAlexW1489521476MaRDI QIDQ3903068

J. W. Benham, J. S. Hsia

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020031

zbMATH Keywords

quadratic formsternary formsBruhat-Tits buildingspinor generaspinor charactershalf-generainvariant-theoretic classification for forms

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12) Quadratic and bilinear forms, inner products (15A63)

Related Items

Applications of spinor class fields: embeddings of orders and quaternionic lattices. ⋮ On primitive spinor exceptional representations ⋮ A generalization of Watson transformation and representations of ternary quadratic forms ⋮ Representation of numbers by spinor genera of translated lattices ⋮ Genus-correspondences respecting spinor genus ⋮ Completely \(p\)-primitive binary quadratic forms ⋮ Ternary universal sums of generalized polygonal numbers ⋮ Integral Positive Ternary Quadratic Forms ⋮ A sum of three nonzero triangular numbers ⋮ Representations of integral quadratic forms by sums of squares ⋮ Integral Springer Theorem for Quaternionic Forms ⋮ Representation of spinor exceptional integers by ternary quadratic forms ⋮ Spinor equivalence of quadratic forms ⋮ Spinor representations of positive definite ternary quadratic forms ⋮ On the representation of integers with large square factors by positive definite ternary quadratic forms

Cites Work

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• Darstellungsmaße indefiniter quadratischer Formen
• Darstellung durch Spinorgeschlechter ternärer quadratischer Formen
• Congruence conditions on integers represented by ternary quadratic forms
• Representations by spinor genera
• Quadratische Semi-Ordnungen und quadratische Formen
• On Indefinite Ternary Quadratic Forms
• Spinor Genera Under Field Extensions, II: 2 Unramified in the Bottom Field