Principal realization of the Yangian Y(gl(n))
Journal Article
·
· Journal of Mathematical Physics
- Chern Institute of Mathematics and LPMC, Nankai University, Tanjin 300071 (China)
- Chern Institute of Mathematics, Nankai University, Tanjin 300071 (China)
- Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205 (United States) and School of Sciences, South China University of Technology, Guangzhou 510640 (China)
Motivated to simplify the structure of tensor representations we give a new set of generators for the Yangian Y(sl(n)) using the principal realization in simple Lie algebras. The isomorphism between our new basis and the standard Cartan-Weyl basis is also given. We show by example that the principal basis simplifies the Yangian action significantly in the tensor product of the fundamental representation and its dual.
- OSTI ID:
- 21175902
- Journal Information:
- Journal of Mathematical Physics, Vol. 50, Issue 1; Other Information: DOI: 10.1063/1.3050319; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Yangian symmetries and integrability of the Dirac equation with spin symmetry
Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian
The Haldane–Shastry spin chain and the topological basis realization
Journal Article
·
Fri Feb 15 00:00:00 EST 2013
· Annals of Physics (New York)
·
OSTI ID:21175902
+2 more
Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian
Journal Article
·
Thu Nov 29 00:00:00 EST 2018
· Journal of High Energy Physics (Online)
·
OSTI ID:21175902
The Haldane–Shastry spin chain and the topological basis realization
Journal Article
·
Sat Jun 15 00:00:00 EDT 2013
· Annals of Physics (New York)
·
OSTI ID:21175902
+3 more