I would like to understand the syzygies of the determinantal ideal $I_r$, generated by the $r\times r$ minors of a matrix $(X_{ij})$ of indeterminantes in the polynomial ring over an algebraically closed field of characteristic zero. The original resource for this object of study is the paper *"Syzygies des variétés déterminantales"* by Alain Lascoux [L]. While I would like to read it at some point, my rusty French is making it a bit cumbersome, and hence I was wondering if there were any translations of this treatment in English, possibly in some textbook. Thanks a lot in advance already.

**[L]** A. Lascoux, *Syzygies des variétés déterminantales*, Adv. Math. 30 (1978), 202–237.

Mathematical Reviews (MathSciNet): MR520233

Digital Object Identifier: doi:10.1016/0001-8708(78)90037-3