# Symmetric group representations and Z

```@article{Adve2017SymmetricGR,
title={Symmetric group representations and Z},
journal={arXiv: Combinatorics},
year={2017}
}```
• Published 30 June 2017
• Mathematics
• arXiv: Combinatorics

## References

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In this chapter, fundamentals of the symmetric group, namely, classes of permutations, Young diagrams, irreducible characters, and the construction of irreducible representations and their bases, are

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• Mathematics
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We present here a new approach to the description of finite-dimensional complex irreducible representations of the symmetric groups due to A. Okounkov and A. Vershik. It gives an alternative

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This volume represents a series of lectures which aims to introduce the beginner to the finite dimensional representations of Lie groups and Lie algebras. Following an introduction to representation

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These are notes from the course MAT4270 on representation theory, autumn 2015. The lectures were held by Sergey Neshyevey. The notes are mine. The first half is about representations of finite

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To each polynomial P with integral nonnegative coefficients and constant term equal to 1, of degree d, we associate a certain pair of elements (y, w) in the symmetric group Sn, where n = 1 + d + P

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• Mathematics
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We give an explicit natural identification between the quiver coefficients of Buch and Fulton, decomposition coefficients for Schubert polynomials, and the Schubert structure constants for flag

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• Mathematics
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We prove an upper bound for characters of the symmetric groups. In particular, we show that there exists a constant a > 0 with a property that for every Young diagram with n boxes, r( ) rows and c( )

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The Kronecker product of two irreducible matrix representations D (A), D (fi) of the symmetric group on n letters, furnishes a representation of that group, which is, in general reducible. The