/ 92 04 07 7 v 1 2 3 A pr 1 99 2 Signature Characters for A 2 and B 2 Adrian Kent and
نویسنده
چکیده
The signatures of the inner product matrices on a Lie algebra’s highest weight representation are encoded in the representation’s signature character. We show that the signature characters of a finitedimensional Lie algebra’s highest weight representations obey simple difference equations that have a unique solution once appropriate boundary conditions are imposed. We use these results to derive the signature characters of all A2 and B2 highest weight representations. Our results extend, and explain, signature patterns analogous to those observed by Friedan, Qiu and Shenker in the Virasoro algebra’s representation theory. 1Permanent address for A.K. 2Permanent address for G.W.
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