2020/04/30 by Shinsuke Iwao
Mathematics · #math.CO #math.RA #msc:05A10 #msc:05E05
paper · pdf · doi:10.1007/s10801-022-01121-6
published as J Algebr Comb (2022) · 25 pages. This work is a continuation of the author's previous work arXiv:1905.07692
arxiv created 2020/07/09 · arxiv updated 2022/04/05
Skew stable Grothendieck polynomials are K-theoretic analogues of skew Schur polynomials. We give a free-fermionic presentation of skew stable Grothendieck polynomials and their dual symmetric functions. By using our presentation, we derive a family of determinantal formulas, which are K-analogues of the Jacobi-Trudi formula for skew Schur functions. We also introduce a combinatorial method to calculate certain expansions of skew (dual) stable Grothendieck polynomials by using the non-commutative supersymmetric Schur functions.