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|Title:||Vexillary Elements in the Hyperoctahedral Group||Authors:||Billey, S.
Stanley symmetric function
|Issue Date:||1998||Citation:||Billey, S.,Lam, T.K. (1998). Vexillary Elements in the Hyperoctahedral Group. Journal of Algebraic Combinatorics 8 (2) : 139-152. ScholarBank@NUS Repository.||Abstract:||In analogy with the symmetric group, we define the vexillary elements in the hyperoctahedral group to be those for which the Stanley symmetric function is a single Schur Q-function. We show that the vexillary elements can be again determined by pattern avoidance conditions. These results can be extended to include the root systems of types A, B, C, and D. Finally, we give an algorithm for multiplication of Schur Q-functions with a superfied Schur function and a method for determining the shape of a vexillary signed permutation using jeu de taquin.||Source Title:||Journal of Algebraic Combinatorics||URI:||http://scholarbank.nus.edu.sg/handle/10635/104452||ISSN:||09259899|
|Appears in Collections:||Staff Publications|
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