The Drinfeld double gl(n) \oplus t_n

Details The Drinfeld double gl(n) \oplus t_n The Drinfeld double gl(n) \oplus t_n

2005-12-12

arxiv.org/abs/math-ph/0512035v1

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0305-4470/39/29/011

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.

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