Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On representations of affine Kac-Moody groups and related loop groups
HTML articles powered by AMS MathViewer

by Yu Chen PDF
Trans. Amer. Math. Soc. 348 (1996), 3733-3743 Request permission

Abstract:

We demonstrate a one to one correspondence between the irreducible projective representations of an affine Kac-Moody group and those of the related loop group, which leads to the results that every non-trivial representation of an affine Kac-Moody group must have its degree greater than or equal to the rank of the group and that the equivalence appears if and only if the group is of type $A_{n}^{(1)}$ for some $n\ge 1$. Moreover the characteristics of the base fields for the non-trivial representations are found being always zero.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 17B67, 20C15, 22E70
  • Retrieve articles in all journals with MSC (1991): 17B67, 20C15, 22E70
Additional Information
  • Yu Chen
  • Affiliation: Dipartimento di Matematica, Università di Torino, Via C. Alberto 10, 10123 Torino, Italy
  • Email: yuchen@dm.unito.it
  • Received by editor(s): August 4, 1995
  • Additional Notes: Research supported in part by the Italian M.U.R.S.T. and C.N.R.-G.N.S.A.G.A

  • Dedicated: Dedicated to Professor G. Zacher on the occasion of his seventieth birthday
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 3733-3743
  • MSC (1991): Primary 17B67, 20C15, 22E70
  • DOI: https://doi.org/10.1090/S0002-9947-96-01677-7
  • MathSciNet review: 1361638