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Stability of the Heisenberg Product on Symmetric Functions (1701.03203v2)
Published 12 Jan 2017 in math.CO and math.RT
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.