The Drinfeld double gl(n) \oplus t_n
arXiv:math-ph/0512035 · doi:10.1088/0305-4470/39/29/011
Abstract
The two isomorphic Borel subalgebras of gl(n), realized on upper and lower triangular matrices, allow us to consider the gl(n) \opus t_n algebra as a self-dual Drinfeld double. Compatibility conditions impose the choice of an orthonormal basis in the Cartan subalgebra and fix the basis of gl(n). A natural Lie bialgebra structure on gl(n) is obtained, that offers a new perspective for its standard quantum deformation.
8 pages
Cited by in corpus (6)
- Towards (3+1) gravity through Drinfel'd doubles with cosmological constant
- Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
- Classical Lie algebras and Drinfeld doubles
- Poisson-Hopf limit of quantum algebras
- From Quantum Universal Enveloping Algebras to Quantum Algebras
- Bases in Lie and Quantum Algebras