Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras

  • Eastwood M
  • Somberg P
  • Souček V
  • 1


    Mendeley users who have this article in their library.
  • 7


    Citations of this article.


Using deformation theory, Braverman and Joseph constructed certain primitive ideals in the enveloping algebras of the simple Lie algebras. Except in the case s l (2, C), there is a special value of the deformation parameter giving an ideal of infinite codimension. For the classical Lie algebras, the uniqueness of the special value is equivalent to the existence of tensors with very particular properties. The existence of these tensors was concluded abstractly by Braverman and Joseph but here we present explicit formulae. This allows a rather direct computation of the special value of the deformation parameter. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Deformation
  • Joseph ideal
  • Lie algebra
  • Lie groups and Lie (super)algebras
  • Quadratic algebra
  • Special tensors

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Michael Eastwood

  • Petr Somberg

  • Vladimír Souček

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free