Add to ORKGThis thesis studies the properties of Demazure atoms and characters using linear operators and also tableaux-combinatorics. It proves the atom-positivity property of the product of a dominating monomial and an atom, which was an open problem. Furthermore, it provides a combinatorial proof to the key-positivity property of the product of a dominating monomial and a key using skyline fillings, an algebraic proof to the key-positivity property of the product of a Schur function and a key using linear operator and verifies the first open case for the conjecture of key-positivity of the product of two keys using linear operators and polytopes
Schur functions and their q-analogs constitute an interesting branch of combinatorial representation...
Combinatorics on tableaux-like objects and understanding the relationships of various polynomial bas...
The plethysm coefficient $p(\nu, \mu, \lambda)$ is the multiplicity of the Schur function $s_\lambda...
This thesis studies the properties of Demazure atoms and characters using linear operators and also ...
International audienceWe prove that the product of a monomial and a Demazure atom is a positive sum ...
Demazure characters, also known as key polynomials, generalize the classical Schur polynomials. In p...
Abstract. The Schur function indexed by a partition λ with at most n parts is the sum of the weight ...
In the prequel to this paper [5], we showed how results of Mason [11], [12] involving a new combinat...
Given a semisimple Lie algebra, a dominant integral weight lambda, and a Weyl group element w, the K...
The Schur functions, which form an important basis for the ring of symmetric functions, have been sh...
In this dissertation we will look at properties of two different posets from different perspectives....
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functio...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliogr...
Kohnert polynomials are polynomials indexed by unit cell diagrams in the first quadrant defined earl...
The product monomial crystal was defined by Kamnitzer, Tingley, Webster, Weekes, and Yacobi for any ...
Schur functions and their q-analogs constitute an interesting branch of combinatorial representation...
Combinatorics on tableaux-like objects and understanding the relationships of various polynomial bas...
The plethysm coefficient $p(\nu, \mu, \lambda)$ is the multiplicity of the Schur function $s_\lambda...
This thesis studies the properties of Demazure atoms and characters using linear operators and also ...
International audienceWe prove that the product of a monomial and a Demazure atom is a positive sum ...
Demazure characters, also known as key polynomials, generalize the classical Schur polynomials. In p...
Abstract. The Schur function indexed by a partition λ with at most n parts is the sum of the weight ...
In the prequel to this paper [5], we showed how results of Mason [11], [12] involving a new combinat...
Given a semisimple Lie algebra, a dominant integral weight lambda, and a Weyl group element w, the K...
The Schur functions, which form an important basis for the ring of symmetric functions, have been sh...
In this dissertation we will look at properties of two different posets from different perspectives....
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functio...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliogr...
Kohnert polynomials are polynomials indexed by unit cell diagrams in the first quadrant defined earl...
The product monomial crystal was defined by Kamnitzer, Tingley, Webster, Weekes, and Yacobi for any ...
Schur functions and their q-analogs constitute an interesting branch of combinatorial representation...
Combinatorics on tableaux-like objects and understanding the relationships of various polynomial bas...
The plethysm coefficient $p(\nu, \mu, \lambda)$ is the multiplicity of the Schur function $s_\lambda...