منابع مشابه
Computer Algebra of Polynomials and Rational Functions
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We encode the binomials belonging to the toric ideal IA associated with an integral d × n matrix A using a short sum of rational functions as introduced by Barvinok (1994); Barvinok and Woods (2003). Under the assumption that d and n are fixed, this representation allows us to compute a universal Gröbner basis and the reduced Gröbner basis of the ideal IA, with respect to any term order, in tim...
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In 1999, Reg Wood conjectured that the quotient of Q[x1, . . . , xn] by the action of the rational Steenrod algebra is a graded regular representation of the symmetric group Sn. As pointed out by Reg Wood, the analog of this statement is a well known result when the rational Steenrod algebra is replaced by the ring of symmetric functions; actually, much more is known about the structure of the ...
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We extend the family of classical Schur algebras in type A, which determine the polynomial representation theory of general linear groups over an infinite field, to a larger family, the rational Schur algebras, which determine the rational representation theory of general linear groups over an infinite field. This makes it possible to study the rational representation theory of such general lin...
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We prove that the Nevalinna-Pick algorithm provides different homeomorphisms between certain topological spaces of measures, analytic functions and sequences of complex numbers. This algorithm also yields a continued fraction expansion of every Schur function, whose approximants are identified. The approximants are quotients of rational functions which can be understood as the rational analogs ...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2001
ISSN: 1474-6670
DOI: 10.1016/s1474-6670(17)39091-2