Results 41 to 50 of about 2,742,459 (94)

Extending the non-relativistic string AdS coset

open access: yes, 2022
Inspired by Lie algebra expansion, we consider an extension of the algebra introduced in arXiv:2203.07386 for the non-relativistic string coset action in AdS$_5\times$S$^5$. We show that the extended algebra admits a non-degenerate inner product which is
Fontanella, Andrea   +1 more
core  

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

open access: yes, 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  

Representations up to homotopy of Lie algebroids [PDF]

open access: yes, 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  

An Introduction to Lie Algebra [PDF]

open access: yes, 2017
An (associative) algebra is a vector space over a field equipped with an associative, bilinear multiplication. By use of a new bilinear operation, any associative algebra morphs into a nonassociative abstract Lie algebra, where the new product in terms ...
Talley, Amanda Renee
core   +1 more source

A Lie Bracket for the Momentum Kernel. [PDF]

open access: yesCommun Math Phys, 2023
Frost H, Mafra CR, Mason L.
europepmc   +1 more source

Home - About - Disclaimer - Privacy