7 papers
Demazure crystals for flagged set-valued reverse plane partitions
Siddheswar Kundu
In this paper, we build a Demazure crystal structure on the set of all flagged set-valued reverse plane partitions of a given skew shape and flag . Our construction provid…
A second reduction-type formula for the refined Littlewood--Richardson coefficients in type A
Siddheswar Kundu
For a permutation in the symmetric group and partitions with at most parts, the refined Littlewood--Richardson (LR) coefficients in type $A_n…
A note on canonical stable Grothendieck functions
Siddheswar Kundu
In this article, we offer a new way to prove the Murnaghan-Nakayama type rule for the stable Grothendieck polynomials, originally established by Nguyen-Hiep-Son-Thuy. Additionally,…
A contratableau model for K-theoretic Littlewood--Richardson rule
Siddheswar Kundu
The K-theoretic Littlewood--Richardson rule, established by A. Buch, is a combinatorial method for counting the coefficients in the expansion of the product of two symmetric Grothe…
Key expansion of the flagged refined skew stable Grothendieck polynomial
Siddheswar Kundu
The flagged refined stable Grothendieck polynomials of skew shapes generalize several polynomials like stable Grothendieck polynomials, flagged skew Schur polynomials. In this pape…
Demazure crystal structure for flagged reverse plane partitions
Siddheswar Kundu
Given a skew shape and a flag we show that the set of all flagged reverse plane partitions of shape and flag is a disjoint union of Demazure crystals (up to…
Saturation for Flagged Skew Littlewood-Richardson Coefficients
Siddheswar Kundu, K. N. Raghavan, V. Sathish Kumar +1
We define and study a generalization of the Littlewood-Richardson (LR) coefficients, which we call the flagged skew LR coefficients. These subsume several previously studied extens…