On trace forms of higher degree

DOI10.1016/0024-3795(94)00363-7zbMath0867.16010OpenAlexW2162460475MaRDI QIDQ1816944

Daniel B. Shapiro, Manuel O'Ryan

Publication date: 10 July 1997

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

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487759055157698

zbMATH Keywords

automorphismscentral simple algebrastrace formssimilaritieslinear mapsantiautomorphismsscalar mapsreduced traces

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20)

Related Items (9)

Automorphism and similarity groups of forms determined by the characteristic polynomial ⋮ Unnamed Item ⋮ A Springer theorem for higher degree forms ⋮ Centers of higher degree trace forms ⋮ Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSL_n(F) ⋮ Indecomposable forms of higher degree ⋮ Automorphisms of certain forms of higher degree over ordered fields ⋮ The automorphism group of certain higher degree forms ⋮ Trace form preservers

Cites Work

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• Determinants of r-fold symmetric multilinear forms
• A Grothendieck ring of higher degree forms
• Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
• Linear maps on matrices: the invariance of symmetric polynomials
• Trace forms of central simple algebras
• On the similarity group of forms of higher degree
• Théorie de la descente et algèbres d'Azumaya
• On semi-automorphisms of division algebras
• Witt rings of higher degree forms
• Chapter 4:algebraic sets, polynomials, and other functions
• On orthogonal decomposition of homogeneous polynomials

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