Diagonal reduction algebras of gl type |
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Authors: | O V Ogievetsky S M Khoroshkin |
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Institution: | 1.P. N. Lebedev Physical Institute, Theoretical Department,Centre de Physique Théorique,Marseille,France;2.Institute of Theoretical and Experimental Physics,Moscow,Russia |
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Abstract: | Several general questions concerning a reduction algebra, namely, rings of definition and the algorithmic efficiency of the
set of ordering relations, are discussed. For reduction algebras related to the diagonal embedding of the Lie algebra gl
n
into gl
n
⊕gl
n
, a stabilization phenomenon is established and a complete set of defining relations is given. |
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Keywords: | |
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