4 citations · 9 across the 8 of their papers we have counts for
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A Murnaghan--Nakayama rule for dual stable Grothendieck functions
Dang Tuan Hiep, Do Le Hai Thuy
We give a closed boundary formula for multiplication by power sums in the dual stable Grothendieck basis. The off-diagonal coefficients are signed binomial coefficients supported o…
Supersymmetric Schur polynomials have saturated Newton polytopes
Dang Tuan Hiep, Khai-Hoan Nguyen-Dang
We prove that every supersymmetric Schur polynomial has a saturated Newton polytope (SNP). Our approach begins with a tableau-theoretic description of the support, which we encode…
Newton polytope of good symmetric polynomials
Khanh Nguyen Duc, Nguyen Thi Ngoc Giao, Dang Tuan Hiep +1
We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous pr…
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
Khanh Nguyen Duc, Dang Tuan Hiep, Tran Ha Son +1
We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan…