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On representations of affine Kac-Moody groups and related loop groups
Author(s):
Yu
Chen
Journal:
Trans. Amer. Math. Soc.
348
(1996),
3733-3743.
MSC (1991):
Primary 17B67, 20C15, 22E70
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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  for some  . Moreover the characteristics of the base fields for the non-trivial representations are found being always zero.
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Additional Information:
Yu
Chen
Affiliation:
Dipartimento di Matematica, Università di Torino, Via C. Alberto 10, 10123 Torino, Italy
Email:
yuchen@dm.unito.it
DOI:
10.1090/S0002-9947-96-01677-7
PII:
S 0002-9947(96)01677-7
Keywords:
Kac-Moody group,
loop group,
Chevalley-Demazure group scheme,
minimal representation
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 of article:
Copyright
1996,
American Mathematical Society
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