01:12:56
published on June 11, 2026
On actions of braid groups on triangulated categories arising in cluster theory
By Bernhard Keller
![[1251] The Kakeya conjecture in $\mathbb{R}^3$](/media/cache/video_light/uploads/video/SeminaireBourbaki.jpg)
The Double Copy & Lie polynomials
Appears in collection : Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
The 'field theory KLT' or 'double copy' relations express gravity amplitudes in terms of gauge theory partial amplitudes. I present an elementary proof of these identities, using only the properties of Lie polynomials and the shuffle algebra. The work completes a project sketched by M Kapranov in 2012, and is joint with C Mafra.
