Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Correspondences of the Gelfand invariants in reductive dual pairs

  • Part of
  • Minoru Itoh
  • Journal:
    Journal of the Australian Mathematical Society / Volume 75 / Issue 2 / October 2003
    Published online by Cambridge University Press:
    09 April 2009, pp. 263-278
    Print publication:
    October 2003
    • Article
      • You have access
    • PDF
    • Export citation

  • For each complex reductive dual pair introduced by R. Howe, this paper presents a formula for the central elements of the universal enveloping algebras given by I. M. Gelfand. This formula provides an explicit description of the correspondence between the ‘centers’ of the two universal enveloping algebras.

  • On Central Elements in the Universal Enveloping Algebras of the Orthogonal Lie Algebras

  • Minoru Itoh, Tôru Umeda
  • Journal:
    Compositio Mathematica / Volume 127 / Issue 3 / July 2001
    Published online by Cambridge University Press:
    04 December 2007, pp. 333-359
    Print publication:
    July 2001
    • Article
      • You have access
    • PDF
    • Export citation

  • We present an analogy of the famous formula that the square of the Pfaffian is equal to the determinant for an alternating matrix for the case where the entries are the generators of the orthogonal Lie algebras. This identity clarifies the relation between the two sets of central elements in the enveloping algebra of the orthogonal Lie algebras. We employ systematically the exterior calculus for the proof.