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Article overview
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Differential-difference system related to toroidal Lie algebra | Saburo Kakei
; Yasuhiro Ohta
; | Date: |
30 Jul 2001 | Journal: | J.Phys. A34 (2001) 10585-10594 | Subject: | Exactly Solvable and Integrable Systems; Quantum Algebra; Mathematical Physics; Representation Theory | nlin.SI hep-th math-ph math.MP math.QA math.RT | Abstract: | We present a novel differential-difference system in (2+1)-dimensional space-time (one discrete, two continuum), arisen from the Bogoyavlensky’s (2+1)-dimensional KdV hierarchy. Our method is based on the bilinear identity of the hierarchy, which is related to the vertex operator representation of the toroidal Lie algebra $sl_2^{tor}$. | Source: | arXiv, nlin.SI/0107067 | Services: | Forum | Review | PDF | Favorites |
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