Quasisymmetric functions and Heisenberg doubles

Journal of Algebra Combinatorics Discrete Structures and Applications

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