Stability of the Heisenberg Product on Symmetric Functions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2017
- DOI:
- arXiv:
- arXiv:1701.03203
- Bibcode:
- 2017arXiv170103203Y
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Representation Theory
- E-Print:
- 16 pages