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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.CO2026
Shifted lower Bruhat intervals are EL-shellable
Aman Dave, Taiwen Feng, Nathan Lesnevich +4
Let be an arbitrary Coxeter group. The shifted Bruhat interval , the translate of the Bruhat interval by an element , is partially ordered by…