On Hilbert Covariants
نویسندگان
چکیده
منابع مشابه
On Lists of Covariants
I USE the term covariants to include invariants, and I write particularly concerning lists of covariants (groundforms) of the binary quintic and sextic, those of quantics of lower degree being few and well known. When the weight of a covariant is spoken of in this article, it must be understood to mean the weight of its first term or "source." The symbol 5ft will denote that covariant of the qu...
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There is a relationship between the covariants of binary forms, a central topic in classical invariant theory, and the invariants of modular representations of cyclic groups of prime order. This relationship was identified by Gert Almkvist [1] and used implicitly in both [15] and [17]. In this note we investigate the relationship and provide a progress report on an application. Our primary moti...
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A minimal system of homogeneous generating elements of the algebra of covariants for the binary form of degree 8 is calculated.
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Covariants are applied to prove refined versions of a well known statement, that is a basic tool in the study of the rationality problem for fields of invariants (and concerns algebraic groups acting on vector bundles). In addition, the connection between generic independence of covariants and their independence in the module of covariants over the ring of invariants is investigated. MSC: 13A50...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2014
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2012-046-1