Arrays and Condensation Operations
摘要
This part of our book is devoted to a new tool for working with Young tableaux: arrays. They provide easy proofs of various relations for Schur polynomials. The construction of arrays was proposed by Vladimir Danilov and Gleb Koshevoy in 2005, cf. [DK05]. In our exposition we also largely follow the algebra textbook by Alexei Gorodentsev [Gor17].