The Stembridge equality for skew stable Grothendieck polynomials and skew dual stable Grothendieck polynomials

The Schur polynomials s ? are essential in understanding the representation theory of general linear group. They also describe cohomology ring Grassmannians. For ?=(n,n-1,?,1) a staircase shape and ??? subpartition, Stembridge equality states that ?/? =s T . This provides information about symmetry ring. stable Grothendieck G , dual g developed by Buch, Lam, Pylyavskyy, variants K-theory Using Hopf algebra structure symmetric functions generalized Littlewood–Richardson rule, we prove =G =g analogues for skew polynomials.