Orthosymplectic Cauchy identities
Combinatorics
2021-12-24 v2
Abstract
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 algorithms; these are orthosymplectic versions of Berele's symplectic insertion algorithms, which were used by Sundaram to give bijective proofs of Cauchy identities for symplectic Schur functions.
Cite
@article{arxiv.2111.14657,
title = {Orthosymplectic Cauchy identities},
author = {Aalekh Patel and Harsh Patel and Anna Stokke},
journal= {arXiv preprint arXiv:2111.14657},
year = {2021}
}