2010/02/06 by Wuxing Cai, Naihuan Jing · 11 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Current algebra #Graph #Homogeneous #Jordan algebra #Lattice (music) #Mathematics #Operator (biology) #Operator algebra #Pure mathematics #Symmetric function #Vertex (graph theory) #Vertex model #Vertex operator algebra #math.CO #math.QA #msc:05E05 #msc:05E10 #msc:17B69
paper · pdf · doi:10.1007/s10801-010-0228-6
published in Journal of Algebraic Combinatorics 32(4), 579-595 (Springer Science+Business Media) · 16 pages
arxiv created 2010/02/06 · openalex publication_date 2010/04/19 · arxiv updated 2020/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
On the vertex operator algebra associated with rank one lattice we derive a general formula for products of vertex operators in terms of generalized homogeneous symmetric functions. As an application we realize Jack symmetric functions of rectangular shapes as well as marked rectangular shapes.