Quasisymmetric functions and Heisenberg doubles
<p>The ring of quasisymmetric functions is free over the ring of symmetric functions. This result was<br />previously proved by M. Hazewinkel combinatorially through constructing a polynomial basis for<br />quasisymmetric functions. The recent work by A. Savage and O. Yacobi on rep...
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Yildiz Technical University
2016-09-01
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| Series: | Journal of Algebra Combinatorics Discrete Structures and Applications |
| Online Access: | http://dergipark.ulakbim.gov.tr/jacodesmath/article/view/5000198246 |
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doaj-6720781bc8cc4cb8865e349e98108b1b2020-11-25T01:39:18ZengYildiz Technical UniversityJournal of Algebra Combinatorics Discrete Structures and Applications2148-838X2016-09-013310.13069/jacodesmath.278775000166262Quasisymmetric functions and Heisenberg doublesJie Sun<p>The ring of quasisymmetric functions is free over the ring of symmetric functions. This result was<br />previously proved by M. Hazewinkel combinatorially through constructing a polynomial basis for<br />quasisymmetric functions. The recent work by A. Savage and O. Yacobi on representation theory<br />provides a new proof to this result. In this paper, we proved that under certain conditions, the<br />positive part of a Heisenberg double is free over the positive part of the corresponding projective<br />Heisenberg double. Examples satisfying the above conditions are discussed.</p>http://dergipark.ulakbim.gov.tr/jacodesmath/article/view/5000198246 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jie Sun |
| spellingShingle |
Jie Sun Quasisymmetric functions and Heisenberg doubles Journal of Algebra Combinatorics Discrete Structures and Applications |
| author_facet |
Jie Sun |
| author_sort |
Jie Sun |
| title |
Quasisymmetric functions and Heisenberg doubles |
| title_short |
Quasisymmetric functions and Heisenberg doubles |
| title_full |
Quasisymmetric functions and Heisenberg doubles |
| title_fullStr |
Quasisymmetric functions and Heisenberg doubles |
| title_full_unstemmed |
Quasisymmetric functions and Heisenberg doubles |
| title_sort |
quasisymmetric functions and heisenberg doubles |
| publisher |
Yildiz Technical University |
| series |
Journal of Algebra Combinatorics Discrete Structures and Applications |
| issn |
2148-838X |
| publishDate |
2016-09-01 |
| description |
<p>The ring of quasisymmetric functions is free over the ring of symmetric functions. This result was<br />previously proved by M. Hazewinkel combinatorially through constructing a polynomial basis for<br />quasisymmetric functions. The recent work by A. Savage and O. Yacobi on representation theory<br />provides a new proof to this result. In this paper, we proved that under certain conditions, the<br />positive part of a Heisenberg double is free over the positive part of the corresponding projective<br />Heisenberg double. Examples satisfying the above conditions are discussed.</p> |
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http://dergipark.ulakbim.gov.tr/jacodesmath/article/view/5000198246 |
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AT jiesun quasisymmetricfunctionsandheisenbergdoubles |
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