A new current algebra and the reflection equation

2009/06/30 by P. Baseilhac, K. Shigechi · 2 citations
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #math.QA #nlin.SI #msc:81R50 #msc:81R10 #msc:81U15

paper · pdf · doi:10.1007/s11005-010-0380-x

published as Lett. Math. Phys. 92 (2010) 47-65 · 14 pages; v2: More details in Section 4; Typos corrected; References added; To appear in Lett. Math. Phys

arxiv created 2010/02/24 · arxiv updated 2015/05/13

Abstract

We establish an explicit algebra isomorphism between the quantum reflection algebra for the U_q(sl₂) R-matrix and a new type of current algebra. These two algebras are shown to be two realizations of a special case of tridiagonal algebras (q-Onsager).

Cited by

• The higher order q-Dolan-Grady relations and quantum integrable systems
• Using the quantum torus to investigate the q-Onsager algebra

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