Integral Springer Theorem for Quaternionic Forms

DOI10.1017/S0027763000025885zbMath1161.11007OpenAlexW2096143446MaRDI QIDQ5440814

Luis Arenas-Carmona

Publication date: 5 February 2008

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

Full work available at URL: https://doi.org/10.1017/s0027763000025885

zbMATH Keywords

norm principlespinor generaskew-hermitian formsSpringer's Theorem

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (2)

Spinor norm for skew-Hermitian forms over quaternion algebras ⋮ Representation fields for quaternionic skew-Hermitian forms

Cites Work

• Unnamed Item
• Spinor norms of local integral rotations. II
• Integral spinor norm groups over dyadic local fields.
• Spinor norms of local integral rotations. I
• Applications of spinor class fields: embeddings of orders and quaternionic lattices.
• CLASS NUMBERS AND GROUPS OF ALGEBRAIC GROUPS
• On spinor exceptional representations
• Spinor Genera Under Field Extensions, II: 2 Unramified in the Bottom Field

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