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- Title
Quasisymmetric functions and Heisenberg doubles.
- Authors
Jie Sun
- Abstract
The ring of quasisymmetric functions is free over the ring of symmetric functions. This result was previously proved by M. Hazewinkel combinatorially through constructing a polynomial basis for quasisymmetric functions. The recent work by A. Savage and O. Yacobi on representation theory provides a new proof to this result. In this paper, we proved that under certain conditions, the positive part of a Heisenberg double is free over the positive part of the corresponding projective Heisenberg double. Examples satisfying the above conditions are discussed.
- Subjects
QUASISYMMETRIC groups; HEISENBERG model; MATHEMATICAL symmetry; MATHEMATICAL functions; REPRESENTATION theory
- Publication
Journal of Algebra Combinatorics Discrete Structures & Applications, 2017, Vol 4, Issue 3, p195
- ISSN
2148-838X
- Publication type
Article
- DOI
10.13069/jacodesmath.27877