Deformed commutators on quantum group module-algebras
A. O. Garcia
math.QAarXiv:math/0209401
Abstract
We construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are quantum-group covariant, and have generalized antisymmetry and Leibniz properties. If the Hopf algebra is triangular they additionally satisfy a generalized Jacobi identity, turning the module-algebra into a quantum-Lie algebra.
Create a lesson
Related papers
On the Mext groups of sVecR and sVecH
Sean Sanford
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
Magma Automorphisms and Quasi-Linear Cycle Sets
Nigel P. Byott, Edgar Jasko
Unitary TQFTs, unitary disk-like n-categories, and higher Hilbert spaces
Greyson Wesley
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Braided Hopf algebroids and Lie algebroids
Xiao Han