On the General Classification of Lie Bialgebra Structures over Polynomials

REFERENCES

• Belavin , A. , Drinfeld , V. ( 1984 ). Triangle equation and simple Lie algebras . Soviet Sci. Reviews, Section C4 : 93 – 165 .
   Google Scholar
• Khoroshkin , S. , Pop , I. , Samsonov , M. , Stolin , A. , Tolstoy , V. ( 2008 ). On some Lie bialgebra structures on polynomial algebras and their quantization . Commun. Math. Phys. 282 ( 3 ): 625 – 662 .
   Web of Science ®Google Scholar
• Montaner , F. , Stolin , A. , Zelmanov , E. ( 2010 ). Classification of Lie bialgebras over current algebras . Sel. Math. New Ser. 16 ( 4 ): 935 – 962 .
   Web of Science ®Google Scholar
• Pop , I. , Stolin , A. ( 2008 ). Lagrangian subalgebras and quasi-trigonometric r-matrices . Lett. Math. Phys. 85 ( 2–3 ): 249 – 262
   Web of Science ®Google Scholar
• Pop , I. , Yermolova–Magnusson , J. ( 2010 ). New r-matrices for Lie bialgebra structures over polynomials . Lett. Math. Phys. 93 ( 2 ): 141 – 156 .
   Web of Science ®Google Scholar
• Stolin , A. ( 1991 ). On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra . Commun. Math. Phys. 141 : 533 – 548 .
   Web of Science ®Google Scholar
• Stolin , A. , Yermolova–Magnusson , J. ( 2006 ). The 4th structure . Czech. J. Phys. 56 ( 10/11 ): 1293 – 1297 .
   Web of Science ®Google Scholar
• Communicated by M. Cohen.
   Google Scholar