On the Pieri rules of stable and dual stable Grothendieck polynomials

Abstract

We give an explanation for the Pieri coefficients for the stable and dual stable Grothendieck polynomials; their non-leading terms are obtained by taking an alternating sum of meets (or joins) of their leading terms.

arXiv comment8 pages, revised thoroughly, results added and title changed

References in corpus (2)

• A Pieri-type formula and a factorization formula for sums of $K$-$k$-Schur functions
• Automorphisms on the ring of symmetric functions and stable and dual stable Grothendieck polynomials

Cited by in corpus (1)

• Automorphisms on the ring of symmetric functions and stable and dual stable Grothendieck polynomials