2007/11/08 by Yina Wu, Weiqiang Lin, Wu, Yina +1
Mathematics · #17B10 #17B65 #17B68 #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Cellular algebra #Commutative Algebra and Its Applications #FOS: Mathematics #Geology #Mathematics #Pure mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings, Modules, and Algebras #Series (stratigraphy) #Virasoro algebra #math.QA #math.RT #msc:17B10 #msc:17B65 #msc:17B68
paper · pdf · doi:10.48550/arxiv.0711.1200
published in arXiv (Cornell University) (Cornell University) · 13 pages
arxiv created 2007/11/08 · openalex publication_date 2007/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we complete the classification of the \bf Z-graded modules of the intermediate series over the q-analog Virasoro-like algebra L. We first construct four classes of irreducible \bf Z-graded L-modules of the intermediate series. Then we prove that any \bf Z-graded L-modules of the intermediate series must be the direct sum of some trivial L-modules or one of the modules constructed by us.