Some Combinatorial Properties of Schubert Polynomials
Journal of Algebraic Combinatorics: An International Journal
A method for the enumeration of various classes of column-convex polygons
Discrete Mathematics
On the Fully Commutative Elements of Coxeter Groups
Journal of Algebraic Combinatorics: An International Journal
The Enumeration of Fully Commutative Elements of Coxeter Groups
Journal of Algebraic Combinatorics: An International Journal
Steep polyominoes, q-Motzkin numbers and q-Bessel functions
Discrete Mathematics
Kazhdan-Lusztig Polynomials for 321-Hexagon-Avoiding Permutations
Journal of Algebraic Combinatorics: An International Journal
Some permutations with forbidden subsequences and their inversion number
Discrete Mathematics
On 321-Avoiding Permutations in Affine Weyl Groups
Journal of Algebraic Combinatorics: An International Journal
A bijection on core partitions and a parabolic quotient of the affine symmetric group
Journal of Combinatorial Theory Series A
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We give a generating function for the fully commutative affine permutations enumerated by rank and Coxeter length, extending formulas due to Stembridge and Barcucci-Del Lungo-Pergola-Pinzani. For fixed rank, the length generating functions have coefficients that are periodic with period dividing the rank. In the course of proving these formulas, we obtain results that elucidate the structure of the fully commutative affine permutations.