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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We construct new examples of immersed minimal surfaces with catenoid ends and finite total curvature, of both genus zero and higher genus. In the genus zero case, we classify all such surfaces with at most 2n+1 ends, and with symmetry group the natural Z2 extension of the dihedral group Dn. 1 2 The surfaces are constructed by proving existence of the conjugate surfaces. We extend this method to...
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Automorphic Lie Algebras are interesting because of their fundamental nature and their role in our understanding of symmetry. Particularly crucial is their description and classification as it allows us to understand and apply them in different contexts, from mathematics to physical sciences. While the problem of classification of Automorphic Lie Algebras with dihedral symmetry was already cons...
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.
متن کاملDihedral fullerenes of threefold symmetry with and without face spirals
A general geometrical construction for fullerenes of threefold dihedral symmetry is reported and used to Ðnd those 3 , 3h , 3d examples of this symmetry that are without face spirals. The smallest, a 384-atom cage, has its twelve pentagons arranged in 3 three separate crosses of four fully fused rings and has four atoms more than the smallest known non-spirallable fullerene. Another structure, ...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2007
ISSN: 1571-0653
DOI: 10.1016/j.endm.2007.01.056