Introduction to Yangian in Physics
| dc.creator | Ge, Mo-lin | |
| dc.creator | Xue, Kang | |
| dc.creator | Wang, Yiwen | |
| dc.date | 1995-09-15 | |
| dc.date.accessioned | 2026-07-07T03:07:55Z | |
| dc.date.available | 2026-07-07T03:07:55Z | |
| dc.description | 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9509090 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9509090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27355 | |
| dc.subject | Condensed Matter | |
| dc.title | Introduction to Yangian in Physics | |
| dc.type | text |