Stability of the Heisenberg Product on Symmetric Functions
Combinatorics
2018-07-19 v2 Representation Theory
Abstract
The Heisenberg product is an associative product defined on symmetric functions which interpolates between the usual product and the Kronecker product. In 1938, Murnaghan discovered that the Kronecker product of two Schur functions stabilizes. We prove an analogous result for the Heisenberg product of Schur functions.
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Cite
@article{arxiv.1701.03203,
title = {Stability of the Heisenberg Product on Symmetric Functions},
author = {Li Ying},
journal= {arXiv preprint arXiv:1701.03203},
year = {2018}
}
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16 pages