2001/01/16 by Niall MacKay, Liu Zhao, MacKay, Niall +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Optical Network Technologies #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0101018
LaTeX, 16 pages
arxiv created 2001/01/16 · openalex publication_date 2001/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Yang-Baxter relation-based formalism for generalized quantum affine algebras with the structure of an infinite Hopf family of (super-) algebras is proposed. The structure of the infinite Hopf family is given explicitly on the level of L matrices. The relation with the Drinfeld current realization is established in the case of 4×4 R-matrices by studying the analogue of the Ding-Frenkel theorem. By use of the concept of algebra ``comorphisms'' (which generalize the notion of algebra comodules for standard Hopf algebras), a possible way of constructing infinitely many commuting operators out of the generalized RLL algebras is given. Finally some examples of the generalized RLL algebras are briefly discussed.