Orthogonal polynomials arising from the wreath products of a dihedral group with a symmetric group
نویسندگان
چکیده
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.
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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The pair of groups, symmetric group S2n and hyperoctohedral group Hn , form a Gelfand pair. The characteristic map is a mapping from the graded algebra generated by the zonal spherical functions of (S2n, Hn) into the ring of symmetric functions. The images of the zonal spherical functions under this map are called the zonal polynomials. A wreath product generalization of the Gelfand pair (S2n, ...
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We study the unit group of the modular group algebra KG, where G is a 2-group of maximal class. We prove that the unit group of KG possesses a section isomorphic to the wreath product of a group of order two with the commutator subgroup of the group G. MSC2000: Primary 16S34, 20C05; Secondary 16U60
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2003
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2003.09.001