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Q-CHARACTERS AND MINIMAL AFFINIZATIONS

Year 2007, Volume: 1 Issue: 1, 55 - 97, 01.06.2007

M. G. Moakes A. N. Pressley

Abstract

Every finite-dimensional irreducible representation of a (classical)
affine Lie algebra has quantum analogues, but these are generally ’larger’ than
their classical counterparts. Among the quantum analogues of a particular
classical representation, some (usually one) are ’minimal’ in a certain precise
sense. This paper studies the structure of these minimal representations when
the underlying finite-dimensional Lie algebra is of rank 2. We also compute
their q-characters in some cases.

Keywords

Quantum group affine algebra representation affinization

Year 2007, Volume: 1 Issue: 1, 55 - 97, 01.06.2007

M. G. Moakes A. N. Pressley

Abstract

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Details

Other ID JA59BM65MB
Journal Section Articles
Authors

M. G. Moakes This is me

A. N. Pressley This is me

Publication Date June 1, 2007
Published in Issue Year 2007 Volume: 1 Issue: 1

Cite

APA Moakes, M. G., & Pressley, A. N. (2007). Q-CHARACTERS AND MINIMAL AFFINIZATIONS. International Electronic Journal of Algebra, 1(1), 55-97.
AMA Moakes MG, Pressley AN. Q-CHARACTERS AND MINIMAL AFFINIZATIONS. IEJA. June 2007;1(1):55-97.
Chicago Moakes, M. G., and A. N. Pressley. “Q-CHARACTERS AND MINIMAL AFFINIZATIONS”. International Electronic Journal of Algebra 1, no. 1 (June 2007): 55-97.
EndNote Moakes MG, Pressley AN (June 1, 2007) Q-CHARACTERS AND MINIMAL AFFINIZATIONS. International Electronic Journal of Algebra 1 1 55–97.
IEEE M. G. Moakes and A. N. Pressley, “Q-CHARACTERS AND MINIMAL AFFINIZATIONS”, IEJA, vol. 1, no. 1, pp. 55–97, 2007.
ISNAD Moakes, M. G. - Pressley, A. N. “Q-CHARACTERS AND MINIMAL AFFINIZATIONS”. International Electronic Journal of Algebra 1/1 (June 2007), 55-97.
JAMA Moakes MG, Pressley AN. Q-CHARACTERS AND MINIMAL AFFINIZATIONS. IEJA. 2007;1:55–97.
MLA Moakes, M. G. and A. N. Pressley. “Q-CHARACTERS AND MINIMAL AFFINIZATIONS”. International Electronic Journal of Algebra, vol. 1, no. 1, 2007, pp. 55-97.
Vancouver Moakes MG, Pressley AN. Q-CHARACTERS AND MINIMAL AFFINIZATIONS. IEJA. 2007;1(1):55-97.