منابع مشابه
Symmetry classes of polynomials associated with the dihedral group
In this paper, we obtain the dimensions of symmetry classes of polynomials associated with the irreducible characters of the dihedral group as a subgroup of the full symmetric group. Then we discuss the existence of o-basis of these classes.
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in this paper, we give a necessary and sufficient condition for the equality of two symmetrized decomposable polynomials. then, we study some algebraic and geometric properties of the induced operators over symmetry classes of polynomials in the case of linear characters.
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We adapt C. Freiling’s axioms of symmetry [5] to models of set theory with classes by identifying small classes with sets getting thus a sequence of principles An, for n ≥ 2, of increasing strength. Several equivalents of A2 are given. A2 is incompatible both with the foundation axiom and the antifoundation axioms AFA∼ considered in [1]. A hierarchy of symmetry degrees of preorderings (and of c...
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We consider the nearest-neighbor spacing distributions of mixed random matrix ensembles interpolating between different symmetry classes or between integrable and nonintegrable systems. We derive analytical formulas for the spacing distributions of 2×2 or 4×4 matrices and show numerically that they provide very good approximations for those of random matrices with large dimension. This generali...
متن کاملsymmetry classes of polynomials associated with the dihedral group
in this paper, we obtain the dimensions of symmetry classes of polynomials associated with the irreducible characters of the dihedral group as a subgroup of the full symmetric group. then we discuss the existence of o-basis of these classes.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1991
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.88.19.8415