What is a Young tableau?
arXiv:math/0611030
Abstract
Young tableaux are classical combinatorial objects playing recurring and varied roles in representation theory, algebraic geometry and commutative algebra. This article is a short exposition on Young tableaux, written for the "WHAT IS...?" series of the Notices of the American Mathematical Society. It describes some of their properties and applications.
A final copy-edited version is to appear in Notices. Amer. Math. Soc