Drinfeld J Presentation of Twisted Yangians
Abstract
We present a quantization of a Lie coideal structure for twisted halfloop algebras of finitedimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for all symmetric pairs of simple Lie algebras and for simple twisted even halfloop Lie algebras. We provide the explicit form of the closure relations for twisted Yangians in Drinfeld J presentation for the ${\mathfrak{sl}}_3$ Lie algebra.
 Publication:

arXiv eprints
 Pub Date:
 January 2014
 DOI:
 10.48550/arXiv.1401.2143
 arXiv:
 arXiv:1401.2143
 Bibcode:
 2014arXiv1401.2143B
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 SIGMA 13 (2017), 011, 35 pages