Quasisymmetric functions and Heisenberg doubles

Jie Sun
918 252


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.

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DOI: http://dx.doi.org/10.13069/jacodesmath.27877


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