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Mathematics, Combinatorics
Abstract:
The symmetric Grothendieck polynomials generalize Schur polynomi-
als and are Schur-positive by degree. Combinatorially this is mani-
fested as the generalization of semistandard Young tableaux by set-valued
tableaux. We define a (weak) symmetric P -Grothendieck polynomial
which generalizes P -Schur polynomials in the same way. Combinatori-
ally this is manifested as the generalization of shifted semistandard Young
tableaux by a new type of tableau which we call shifted multiset tableaux.
