The Drinfeld double gl(n) \oplus t_n
Mathematical Physics
2009-11-11 v1 math.MP
Quantum Algebra
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.
Cite
@article{arxiv.math-ph/0512035,
title = {The Drinfeld double gl(n) \oplus t_n},
author = {A. Ballesteros and E. Celeghini and M. A. del Olmo},
journal= {arXiv preprint arXiv:math-ph/0512035},
year = {2009}
}
Comments
8 pages