publication . Preprint . 2011

The first term of plethysms

Iijima, Kazuto;
Open Access English
  • Published: 24 Aug 2011
Abstract
Plethysm of two Schur functions can be expressed as a linear combination of Schur functions, and monomial symmetric functions. In this paper, we express the coefficients combinatorially in the case of monomial symmetric functions. And by using it, we determine the first term of the plethysm with respect to Schur functions under the reverse lexicographic order.
Subjects
arXiv: Mathematics::Commutative AlgebraComputer Science::Symbolic ComputationMathematics::Representation TheoryMathematics::Combinatorics
free text keywords: Mathematics - Combinatorics, Mathematics - Representation Theory
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