4 citations · 9 across the 6 of their papers we have counts for
7 papers
Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions
Nishu Kumari, Anna Stokke
We establish new Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions. The classical Murnaghan--Nakayama rule expresses the product of a power s…
A cyclic sieving phenomenon for symplectic tableaux
Graeme Henrickson, Anna Stokke, Max Wiebe
We give a cyclic sieving phenomenon for symplectic -tableaux , where is a partition of an odd integer and for any odd prime . We use the…
Cyclic Sieving for a Family of Semistandard Tableaux
Joshua Basman Monterrubio, Graeme Henrickson, Anna Stokke
We give a new cyclic sieving phenomenon for semistandard Young tableaux of shape and content , a -tuple. We prove that $(SSYT(λ,μ),\langle \partia…
Orthosymplectic Cauchy identities
Aalekh Patel, Harsh Patel, Anna Stokke
We give bijective proofs of orthosymplectic analogues of the Cauchy identity and dual Cauchy identity for orthosymplectic Schur functions. To do so, we present two insertion algori…
An orthosymplectic Pieri rule
Anna Stokke
The classical Pieri formula gives a combinatorial rule for decomposing the product of a Schur function and a complete homogeneous symmetric polynomial as a linear combination of Sc…
Increasing tableaux and Narayana numbers
Timothy Pressey, Anna Stokke, Terry Visentin
We give a counting formula for the set of rectangular increasing tableaux in terms of generalized Narayana numbers. We define small -Schröder paths and give a bijection between…
Hook-content formulae for symplectic and orthogonal tableaux
Peter S. Campbell, Anna Stokke
By considering the specialisation of the Schur function, Stanley was able to describe a formula for the number of semistandard Young tableaux of shape $λ…