2 papers
math.CO2026
Staircase diagrams, pattern avoidance, and smooth permutations
Faqruddin Ali Azam, Edward Richmond
A well known result due to Lakshmibai and Sandhya states that smooth Schubert varieties of type A correspond to permutations that avoid the patterns 3412 and 4231. It was later sho…
math.CO2021
On the generating function for intervals in Young's lattice
Faqruddin Azam, Edward Richmond
In this paper, we study a family of generating functions whose coefficients are polynomials that enumerate partitions in lower order ideals of Young's lattice. Our main result is t…