4 citations · 7 across the 4 of their papers we have counts for
6 papers
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 characterization of the algebraic degree in semidefinite programming
Dang Tuan Hiep, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van
In this article, we show that the algebraic degree in semidefinite programming can be expressed in terms of the coefficient of a certain monomial in a doubly symmetric polynomial.…
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…
An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
Dang Tuan Hiep
We first prove an identity involving symmetric polynomials. This identity leads us into exploring the geometry of Lagrangian Grassmannians. As an insight applications, we obtain a…
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
Dang Tuan Hiep
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah-Bott-Berline-Vergne formul…