Weak stuffle algebras

Cecile MAMMEZ

doi:https://doi.org/10.24330/ieja.1060709

Article Details

Weak stuffle algebras

Authors:

Cecile MAMMEZ

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.1-45

Document Type:

Article

Publication Date:

7/2022

Document Language:

English

Document ID (Org No.):

2000717747

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1060709

Abstract:

 

Motivated by qqq-shuffle products determined by Singer from qqq-analogues of multiple zeta values, we build in this article a generalisation of the shuffle and stuffle products in terms of weak shuffle and stuffle products. Then, we characterise weak shuffle products and give as examples the case of an alphabet of cardinality two or three. We focus on a comparison between algebraic structures respected in the classical case and in the weak case. As in the classical case, each weak shuffle product can be equipped with a dendriform structure. However, they have another behaviour towards the quadri-algebra and the Hopf algebra structure. We give some relations satisfied by weak stuffle products.

Article Details

Weak stuffle algebras

Authors: Cecile MAMMEZ

Publisher: Abdullah HARMANCI

Main Topics: Mathematics

Journal: International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.1-45

Document Type: Article

Publication Date: 7/2022

Document Language: English

Document ID (Org No.): 2000717747

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.1060709

Issues

Authors:

Cecile MAMMEZ

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.1-45

Document Type:

Article

Publication Date:

7/2022

Document Language:

English

Document ID (Org No.):

2000717747

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1060709