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

  • The size of characters of exceptional lie groups

  • Part of
  • Kathryn E. Hare, Karen Yeats
  • Journal:
    Journal of the Australian Mathematical Society / Volume 77 / Issue 2 / October 2004
    Published online by Cambridge University Press:
    09 April 2009, pp. 233-248
    Print publication:
    October 2004
    • Article
      • You have access
    • PDF
    • Export citation

  • Pointwise bounds for characters of representations of the compact, connected, simple, exceptional Life groups are obtained. It is a classical result that if μ is a central, continuous measure on such a group, then μdimG is absolutely continuous. Our estimates on the size of characters allow us to prove that the exponent, dimension of G, can be replaced by approximately the rank of G. Similar results were obtained earlier for the classical, compact Lie groups.

  • Pointwise estimates of the size of characters of compact Lie groups

  • Part of
  • Kathryn E. Hare, David C. Wilson, Wai Ling Yee
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 69 / Issue 1 / August 2000
    Published online by Cambridge University Press:
    09 April 2009, pp. 61-84
    Print publication:
    August 2000
    • Article
      • You have access
    • PDF
    • Export citation

  • Pointwise bounds for characters of representations of the classical, compact, connected, simple Lie groups are obtained with which allow us to study the singularity of central measures. For example, we find the minimal integer k such that any continuous orbital measure convolved with itself k times belongs to L2. We also prove that if k = rank G then μ 2k ∈ L1 for all central, continuous measures μ. This improves upon the known classical result which required the exponent to be dimension of the group G.