00:00:00 / 00:00:00

Demi-shuffle duals of Magnus polynomials in a free associative algebra

By Hiroaki Nakamura

Appears in collection : Combinatorics and Arithmetic for Physics: special days 2023

We study two linear bases of the free associative algebra: one is formed by the Magnus type polynomials and the other is its dual basis (formed by what we call the ‘demi-shuffle’ polynomials) with respect to a standard pairing. As an application, we show a formula of Le-Murakami, Furusho type that expresses arbitrary coefficients of a group-like series in terms of its “regular” coefficients. This talk illustrates my recent paper published in Algebraic Combinatorics Volume 6 (2023) no. 4, pp. 929-939.

Information about the video

  • Date of recording 11/16/23
  • Date of publication 11/22/23
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

Domain(s)

Bibliography

  • Nakamura, Hiroaki. Demi-shuffle duals of Magnus polynomials in a free associative algebra. Algebraic Combinatorics, Volume 6 (2023) no. 4, pp. 929-939. doi:10.5802/alco.287

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback