English

An Introduction to Schur Polynomials

History and Overview 2020-06-18 v2 Combinatorics Representation Theory

Abstract

Notes from a course at the ATM Workshop on Schubert Varieties, held at The Institute of Mathematical Sciences, Chennai, in November 2017. Various expansions of Schur functions, the Lindstr\"om-Gessel-Viennot lemma, semistandard Young tableaux, Schensted's insertion algorithm, the plactic monoid, the RSK correspondence, and the Littlewood-Richardson rule are discussed.

Keywords

Cite

@article{arxiv.1802.06073,
  title  = {An Introduction to Schur Polynomials},
  author = {Amritanshu Prasad},
  journal= {arXiv preprint arXiv:1802.06073},
  year   = {2020}
}

Comments

32 pages, 6 figures; author welcomes comments or corrections

R2 v1 2026-06-23T00:24:55.187Z