Hermitian Forms I

DOI10.2307/1994908zbMath0302.15030OpenAlexW4240841005MaRDI QIDQ4055807

Harry P. Allen

Publication date: 1969

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1994908

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69) Other algebras built from modules (15A78) Homological methods in associative algebras (16Exx) Division rings and semisimple Artin rings (16Kxx)

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The isometry classification of Hermitian forms over division algebras, Invarianten hermitescher Formen über Schiefkörpern. (Invariant Hermitean forms over skew fields), Some canonical pairings of Witt groups of forms, New simple Lie algebras of type 𝐷₄