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The Drinfeld double gl(n) \oplus t_n

A. Ballesteros·E. Celeghini·M. A. del Olmo
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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.

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A. Ballesteros, E. Celeghini, M. A. del Olmo. 2005-12-12. The Drinfeld double gl(n) \oplus t_n. https://doi.org/10.1088/0305-4470%2F39%2F29%2F011

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