fields of representation theory and group theory, a linear representation ρ {\displaystyle \rho } (rho) of a group G {\displaystyle G} is a monomial representation...

mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two definitions of a monomial may be encountered: A monomial, also called...

representation of a one dimensional representation is called a monomial representation, because it can be represented as monomial matrices. Some groups have the...

orthogonal group. Monomial matrices occur in representation theory in the context of monomial representations. A monomial representation of a group G is...

polynomials that contain only one type of monomial, with only those copies required to obtain symmetry. Any monomial in X1, ..., Xn can be written as X1α1...

coefficient) are naturally ordered by decreasing monomials (for this order). This makes the representation of a polynomial as a sorted list of pairs coefficient–exponent...

In algebraic geometry, standard monomial theory describes the sections of a line bundle over a generalized flag variety or Schubert variety of a reductive...

In mathematical representation theory, a minuscule representation of a semisimple Lie algebra or group is an irreducible representation such that the Weyl...

at least one nonzero monomial that has degree deg ⁡ ( g ) + deg ⁡ ( h ) {\displaystyle \deg(g)+\deg(h)} . To find such a monomial, pick the one in g {\displaystyle...

a monomial does not change the order of the terms. For Gröbner bases, a further condition must be satisfied, namely that every non-constant monomial is...