1994/09/28 by B. Basu-Mallick, Basu-Mallick, B., P. Ramadevi +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9409178
14 pages plain LATEX
arxiv created 1994/09/28 · openalex publication_date 1994/09/28 · openalex created_date 2016/06/24 · arxiv updated 2016/09/06 · openalex updated_date 2026/07/28
Yang-Baxterising a braid group representation associated with multideformed version of GLq(N) quantum group and taking the corresponding q→ 1 limit, we obtain a rational R-matrix which depends on ( 1+ N(N-1) \over 2 ) number of deformation parameters. By using such rational R-matrix subsequently we construct a multiparameter dependent extension of Y(glN) Yangian algebra and find that this extended algebra leads to a modification of usual asymptotic condition on monodromy matrix T(λ), at λ→ ∞ limit. Moreover, it turns out that, there exists a nonlinear realisation of this extended algebra through the generators of original Y(glN) algebra. Such realisation interestingly provides a novel ( 1 + N(N-1) \over 2 ) number of deformation parameter dependent coproduct for standard Y(glN) algebra.