Anastasia Doikou and Konstadinos Sfetsos 2009 J. Phys. A: Math. Theor. 42 475204 doi:10.1088/1751-8113/42/47/475204
Anastasia Doikou and Konstadinos Sfetsos
Show affiliationsWe propose a generic framework to obtain certain types of contracted and centrally extended algebras. This is based on the existence of quadratic algebras (reflection algebras and twisted Yangians), naturally arising in the context of boundary integrable models. A quite old misconception regarding the 'expansion' of the E2 algebra into sl2 is resolved using the representation theory of the aforementioned quadratic algebras. We also obtain centrally extended algebras associated with rational and trigonometric (q-deformed) R-matrices that are solutions of the Yang–Baxter equation.
16S30 Universal enveloping algebras of Lie algebras (See mainly 17B35)
Issue 47 (27 November 2009)
Received 27 May 2009, in final form 29 September 2009
Published 4 November 2009
Anastasia Doikou and Konstadinos Sfetsos 2009 J. Phys. A: Math. Theor. 42 475204
L Andric and R I Hall 1984 J. Phys. B: At. Mol. Phys. 17 2713
M Beleggia et al 2005 J. Phys. D: Appl. Phys. 38 3333
M. Pović et al. 2009 ApJ 706 810
Paola Testa et al. 2005 ApJ 622 695
L Aubrecht et al 1999 J. Phys. D: Appl. Phys. 32 L87
W. H. de Vries et al. 2005 The Astronomical Journal 129 615
Leonid Chuzhoy and Paul R. Shapiro 2007 ApJ 655 843
Abhijit Biswas and P K Basu 2003 Semicond. Sci. Technol. 18 907
B Konopelchenko et al 2006 J. Phys. A: Math. Gen. 39 11231