The Drinfeld double gl(n) \oplus t_n
Ballesteros, A. ; Celeghini, E. ; del Olmo, M. A.
arXiv, 0512035 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-12-12
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  81R50, 81R40, 17B37 
@article{0512035,
     author = {Ballesteros, A. and Celeghini, E. and del Olmo, M. A.},
     title = {The Drinfeld double gl(n) \oplus t\_n},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512035}
}

Ballesteros, A.; Celeghini, E.; del Olmo, M. A. The Drinfeld double gl(n) \oplus t_n. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512035/