On representations of Clifford algebras of Ternary cubic forms


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Coskun E. , Kulkarni R. S. , Mustopa Y.

Conference on New Trends in Noncommutative Algebra, Washington, United States Of America, 9 - 14 August 2010, vol.562, pp.91-92 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 562
  • Doi Number: 10.1090/conm/562/11132
  • City: Washington
  • Country: United States Of America
  • Page Numbers: pp.91-92

Abstract

In this article, we provide an overview of a one-to-one correspondence between representations of the generalized Clifford algebra C-f of a ternary cubic form f and certain vector bundles (called Ulrich bundles) on a cubic surface X. We study general properties of Ulrich bundles, and using a recent classification of Casanellas and Hartshorne, deduce the existence of irreducible representations of C-f of every possible dimension.