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Infinite Hopf family of elliptic algebras and bosonization

1998/01/31 by Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.QA

paper · pdf · doi:10.1088/0305-4470/32/10/012

LaTeX, 11 pages. This is the new and final version

arxiv created 1998/04/05 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Elliptic current algebras for arbitrary simply laced finite-dimensional Lie algebra g are defined and their co-algebraic structures are studied. Putting the algebras with different deformation parameters together, we establish a structure of an infinite Hopf family of algebras with a Drinfeld-like co-multiplication. The level 1 bosonic realization for the algebra is also established.

Citations