Hodge algebra

In mathematics, a Hodge algebra or algebra with straightening law is a commutative algebra that is a free module over some ring R, together with a given basis similar to the basis of standard monomials of the coordinate ring of a Grassmannian. Hodge algebras were introduced by Corrado De Concini, David Eisenbud, and Claudio Procesi (1982), who named them after W. V. D. Hodge.

References

• De Concini, Corrado; Eisenbud, David; Procesi, Claudio (1982), Hodge algebras, Astérisque, vol. 91, Paris: Société Mathématique de France, MR 0680936