monomial permutation

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• Monomial representation — In mathematics, a linear representation ρ of a group G is a monomial representation if there is a finite index subgroup H and a one dimensional linear representation σ of H, such that ρ is equivalent to the induced representation IndHGσ.… …   Wikipedia

• Generalized permutation matrix — In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column. Unlike a permutation matrix, where the… …   Wikipedia

• Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… …   Wikipedia

• Cycle index — In mathematics, and in particular in the field of combinatorics, cycle indices are used in combinatorial enumeration when symmetries are to be taken into account. This is particularly important in species theory. Each permutation π of a finite… …   Wikipedia

• Newton's identities — In mathematics, Newton s identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial …   Wikipedia

• Induced representation — In mathematics, and in particular group representation theory, the induced representation is one of the major general operations for passing from a representation of a subgroup H to a representation of the (whole) group G itself. It was initially …   Wikipedia

• Cyclic order — In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… …   Wikipedia

• List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… …   Wikipedia

• List of combinatorics topics — This is a list of combinatorics topics.A few decades ago it might have been said that combinatorics is little more than a way to classify poorly understood problems, and some standard remedies. Great progress has been made since 1960.This page is …   Wikipedia

• Linear code — In mathematics and information theory, a linear code is an important type of block code used in error correction and detection schemes. Linear codes allow for more efficient encoding and decoding algorithms than other codes (cf. syndrome… …   Wikipedia

• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia