4 citations · 5 across the 4 of their papers we have counts for
5 papers
Branching rule on winding subalgebras of affine Kac-Moody algebras
Khanh Nguyen Duc
In this paper, by using the Lakshmibai-Seshadri paths, we give the branching rule for representations of affine Kac-Moody algebras to their winding subalgebras. As a corollary, we…
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…
Steenrod Lengths and a Problem of Vakil
Khanh Nguyen Duc
We give an explicit combinatorial description of the function governing the Steenrod length of real projective spaces . This function arises in stable homotop…
Branching rules for winding subalgebras of the affine Kac--Moody algebras and
Khanh Nguyen Duc
We study branching problems for affine Kac--Moody algebras. Unlike the finite-dimensional case, an affine Kac--Moody algebra may contain proper subalgebras isomorphic to itself, su…