Central extension $\DYg$ of the Double of the Yangian is defined for a simple
Lie algebra ${\bf g}$ with complete proof for ${\bf g} =sl_2$. Basic
representations and intertwining operators are constructed for $\DY2$.Comment: 12 pages, latex, no figure

Khoroshkin, S. M.

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arXiv

A central extension D̂Y () of the double of the Yangian is defined for a simple Lie algebra  with complete proof for   = 2. Basic representations and intertwining operators are constructed for ̂DY (2). Résumé On définit une extension centrale D̂Y () du double du Yangien pour une algèbre de Lie simple  avec des preuves complètes pour le cas   = 2. On construit des représentations de base et des opérateurs d’entrelacement pour ̂DY (2)

Sergej M. Khoroshkin

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Central Extension of the Yangian Double

http://emis.maths.adelaide.edu.au/journals/SC/1997/2/pdf/smf_sem-cong_2_119-135.pdf

Central Extension of the Yangian Double

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