1995/09/15 by Mo‐Lin Ge, Mo-lin Ge, Kang Xue +4
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Condensed Matter (cond-mat) #FOS: Physical sciences #Nonlinear Waves and Solitons #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9509090
41 pages, Preprint ( reprint ) of Nankai Institute of Mathematics. Invited talk presented at Second Pacific Physics Winter School. For hard copy, write to Prof. Mo-lin GE, Nankai Institute of Mathematics. Do not send emails to this computer account
arxiv created 1995/09/15 · openalex publication_date 1995/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is an introduction to the physical pictures of \em Yangian symmetry. All the discussions are based on the RTT relations which have been known to be related to the Hamiltonian formulations for quantum integrable systems. The explicit calculations of \em Yangian associated with gl(2) are given through solving the RTT relations. It contains the Drinfeld's Y(sl(2)), Y(sl(n)) and Heisenberg type of Hopf algebras. Examples are emphasized to show the physical pictures, such as Hubbard model, Haldane-Shastry model, Long-range interaction models and Goryachev-Chaplygin(G-C) gyrostat. The example of the trigonometric extension of G-C gyrostat are also shown that leads to the non-commutative geometry naturally on the basis of the truncated q-affine algebra.