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Journals / Journal of Algebra Combinatorics Discrete Structures and Applications / 2016 / Cilt: 3 Sayı: 3

Quasisymmetric functions and Heisenberg doubles

Jie Sun
Pages
195–200
Publication Date
2016-08-09
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Examples satisfying the above conditions are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The ring of quasisymmetric functions is free over the ring of symmetric functions.
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Key Findings & Data:This result was previously proved by M.
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Conclusion & Impact:Examples satisfying the above conditions are discussed.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

Sun, J. (2016). Quasisymmetric functions and Heisenberg doubles. Journal of Algebra Combinatorics Discrete Structures and Applications, Cilt: 3 Sayı: 3, 195–200. https://doi.org/10.13069/jacodesmath.27877

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