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
×

1 results

  • The Polynomial Behavior of Weight Multiplicities for the Affine Kac–Moody Algebras A(1)r

  • Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee, Kailash C. Misra, Dong-Uy Shin
  • Journal:
    Compositio Mathematica / Volume 126 / Issue 1 / March 2001
    Published online by Cambridge University Press:
    04 December 2007, pp. 91-111
    Print publication:
    March 2001
    • Article
      • You have access
    • PDF
    • Export citation

  • We prove that the multiplicity of an arbitrary dominant weight for an irreducible highest weight representation of the affine Kac–Moody algebra A(1)r is a polynomial in the rank r. In the process we show that the degree of this polynomial is less than or equal to the depth of the weight with respect to the highest weight. These results allow weight multiplicity information for small ranks to be transferred to arbitrary ranks.