Signature characters forA 2 andB 2
نویسندگان
چکیده
منابع مشابه
2-Groups, 2-Characters, and Burnside Rings
We study 2-representations, i.e. actions of 2-groups on 2-vector spaces. Our main focus is character theory for 2-representations. To this end we employ the technique of extended Burnside rings. Our main theorem is that the Ganter-Kapranov 2-character is a particular mark homomorphism of the Burnside ring. As an application we give a new proof of Osorno formula for the Ganter-Kapranov 2-charact...
متن کامل/ 92 04 07 7 v 1 2 3 A pr 1 99 2 Signature Characters for A 2 and B 2 Adrian Kent and
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 deriv...
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The number of ghost states at each energy level in a non-unitary con-formal field theory is encoded in the signature characters of the relevant Virasoro algebra highest weight representations. We give expressions for these signature characters. These results complete Friedan-Qiu-Shenker's analysis of the Virasoro algebra's highest weight representations.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1991
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02100282