Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras

作者：Lam Thomas^*

来源：Bulletin of the London Mathematical Society, 2011, 43: 328-334.

DOI：10.1112/blms/bdq110

We develop the point of view that Schubert classes of the affine Grassmannian of a simple algebraic group G can be identified with Schur-positive symmetric functions. In particular, we give a geometric proof of the Schur positivity of k-Schur functions at t=1, together with branching positivity results for the type C k-Schur functions. Our work is placed in the context of combinatorial Hopf algebras.

• 出版日期2011-4