Q-CHARACTERS AND MINIMAL AFFINIZATIONS

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International Electronic Journal of Algebra
Volume:1 Issue:1
Q-CHARACTERS AND MINIMAL AFFINIZATIONS

Q-CHARACTERS AND MINIMAL AFFINIZATIONS

Authors : M G Moakes, A N Pressley

Pages : 55-97

View : 11 | Download : 13

Publication Date : 2007-06-01

Article Type : Research Paper

Abstract :Every finite-dimensional irreducible representation of a insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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

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