Transfer Matrix and Yangian Related to Chaplygin-Goryachev Top
XUE Kang1, WANG Zhou-fei2, GE Mo-lin2, ZHANG Hong-biao1
1Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
2Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071
Transfer Matrix and Yangian Related to Chaplygin-Goryachev Top
1Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
2Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071
Abstract： A new representation of Yangian for sl(2) is obtained from e(3) algebra. For the given rational solution of the quantum Yang-Baxter equation the algebraic relations of the transfer matrix is discussed and a new transfer matrix related to Chaplygin-Goryachev top are constructed in terms of the generators of Yangian.
XUE Kang;WANG Zhou-fei;GE Mo-lin;ZHANG Hong-biao. Transfer Matrix and Yangian Related to Chaplygin-Goryachev Top[J]. 中国物理快报, 1996, 13(9): 641-643.
XUE Kang, WANG Zhou-fei, GE Mo-lin, ZHANG Hong-biao. Transfer Matrix and Yangian Related to Chaplygin-Goryachev Top. Chin. Phys. Lett., 1996, 13(9): 641-643.
1996, Vol. 13 
