The Yang-Baxter equation and a systematic search for Poisson brackets on associative algebras

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The Yang-Baxter equation and a systematic search for Poisson brackets on associative algebras

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1991 international symposium on Symbolic and algebraic computation table of contents

Bonn, West Germany

Pages: 229 - 236

Year of Publication: 1991

ISBN:0-89791-437-6

Authors

Walter Oevel	Department of Mathematical. Sciences, University of Technology, Loughborough LE11 3TU, United Kingdom
Klaus Strack	Fachbereich Mathematik, Universität Paderborn, 4790 Paderborn, Germany

Sponsors

GMD : German Natl Research Ctr for Information Tech. - Gesellschft
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

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ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	M.A. Semenov-Tian-Shansky, What is a classical R-matrix ~. , Funct. Anal. Appl. 17 , 259-272 (1983)
	2	W. Oevel ~nd O. 1Kagnisco, R-Matrices and Higher Poisson Bracket8 for Integrable Systems, Physic~ A 161 , 181-220 (1989)
	3	L.C. Li and S. Parmentier, Nonlinear Poisson Structures and r-Matrices, Commun. Math. Phys. 125,545-563 (1989)
	4	B. Fuchssteiner and A.S. Fokas, Symplectic structures, their BScklund transformations, and hereditary symmetries, Physica D4, 47-66 (1981)
	5	K. Strack, r-Matrizen auf assoziativen Algebren: eine systematische Suche nach Poissonklammern , diploma thesis (in german), Dept. Math., University of Paderborn (1990)