期刊论文详细信息
Journal of Algebra Combinatorics Discrete Structures and Applications | |
Quasisymmetric functions and Heisenberg doubles | |
article | |
Jie Sun1  | |
[1]Department of Mathematical Sciences, Michigan Technological University | |
关键词: Quasisymmetric function; Heisenberg double; Tower of algebras; Hopf algebra; Fock space; | |
DOI : 10.13069/jacodesmath.27877 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Yildiz Technical University | |
【 摘 要 】
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.【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202105240003939ZK.pdf | 478KB | download |