منابع مشابه
On the centers of higher degree forms
Let Θ be a symmetric d-linear form on a vector space V of dimension n over a field K. Its center, Cent(V,Θ), is the analog of the space of symmetric matrices for a bilinear form. If d > 2, the center is a commutative subalgebra of EndK(V ). It was conjectured in [4] that the center has dimension at most n and a proof was given for n ≤ 5. We construct counter examples to this conjecture. We give...
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Low order Whitney elements are widely used for electromagnetic field problems. Higher order approximations are receiving increasing interest but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on si...
متن کاملU-invariants for Forms of Higher Degree
Both a general and a diagonal u-invariant for forms of higher degree are defined, generalizing the u-invariant of quadratic forms. Both old and new results on these invariants are collected.
متن کاملErratum : A Geometrical Theory of Jacobi Forms of Higher Degree
Erratum : A Geometrical Theory of Jacobi Forms of Higher Degree Jae-Hyun Yang Department of Mathematics, Inha University, Incheon 402-751, Korea e-mail : [email protected] Erratum In the article A Geometrical Theory of Jacobi Forms of Higher Degree by JaeHyun Yang [Kyungpook Math. J., 40(2)(2000), 209-237], the author presents the Laplace-Beltrami operator ∆g,h of the Siegel-Jacobi space (Hg,h,...
متن کاملSome Classes of Multiplicative Forms of Higher Degree
Several notions of multiplicativity are introduced for forms of degree d ≥ 3 over a field of characteristic 0 or greater than d. Examples of multiplicative and strongly multiplicative forms of higher degree are given. Conditions restricting the structure of a strongly multiplicative form are found.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00479-8