6
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Simplicities of VOAs Associated to Jordan Algebras of Type \(B\) and Character Formulas for Simple Quotients

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In ths paper we study the VOA \(V_{\mathcal{J},r}\) constructed by Ashihara and Miyamoto, We construct simple quotients of \(V_{\mathcal{J},r},r\in\mathbb{Z}_{\neq 0}\) explicitly using dual-pair type constructions. We also compute the character formula of the simple quotients when \(r=-2n,n\geq 1\).

          Related collections

          Most cited references4

          • Record: found
          • Abstract: not found
          • Article: not found

          DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            An analog of the classical invariant theory for Lie superalgebras. I

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              The First Fundamental Theorem of Invariant Theory for the Orthosymplectic Supergroup

                Bookmark

                Author and article information

                Journal
                2016-12-18
                Article
                1612.06048
                aa9c8dba-ac5b-420e-851f-692c99477342

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                math.QA

                Algebra
                Algebra

                Comments

                Comment on this article