Adjoint representation of a lie algebra

Results 61 to 70 of about 56,732 (134)

Categorifying the $sl(2,C)$ Knizhnik-Zamolodchikov Connection via an Infinitesimal 2-Yang-Baxter Operator in the String Lie-2-Algebra

, 2012
We construct a flat (and fake-flat) 2-connection in the configuration space of $n$ indistinguishable particles in the complex plane, which categorifies the $sl(2,C)$-Knizhnik-Zamolodchikov connection obtained from the adjoint representation of $sl(2,C)$.
Cirio, Lucio S., Martins, João Faria
core

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley +1 more source

Representations up to homotopy of Lie algebroids [PDF]

, 2017
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples. We use representations up to homotopy to define the adjoint representation of a Lie algebroid and show that the resulting ...
Abad, Camilo Arias, Crainic, Marius
core

A Jordan Algebra of a Mal’tsev Algebra

Journal of Mathematical Sciences, 2023
A. Golubkov
semanticscholar +1 more source

Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]