SYMMETRY CLASSES OF POLYNOMIALS ASSOCIATED WITH THE DICYCLIC GROUP

DOI10.1142/S1793557113500332zbMath1277.05168OpenAlexW2076399364MaRDI QIDQ2868578

E. Babaei, Yousef Zamani

Publication date: 17 December 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500332

zbMATH Keywords

permutation groupsirreducible characters\(p\)-adic valuationrelative symmetric polynomialsdicyclic group

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Ordinary representations and characters (20C15) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Dimension formula for the space of relative symmetric polynomials of \(D_n\) with respect to any irreducible representation ⋮ Induced operators on symmetry classes of polynomials ⋮ Induced operators on the space of homogeneous polynomials ⋮ Symmetry Classes of Polynomials

Cites Work

• Unnamed Item
• On the orthogonal bases of symmetry classes
• On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group
• Orthogonal bases of symmetrized tensor spaces
• On the orthogonal basis of symmetry classes of tensors
• Relative symmetric polynomials
• Symmetry classes of tensors associated with certain groups

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