A Half-twist Type Formula for the R-matrix of a Symmetrizable Kac-moody Algebra
نویسنده
چکیده
Kirillov-Reshetikhin and Levendorskii-Soibelman developed a formula for the universal R-matrix of Uq(g) of the form R = (X ⊗X)∆(X). The action of X on a representation V permutes weight spaces according to the longest element in the Weyl group, so is only defined when g is of finite type. We give a similar formula which is valid for any symmetrizable KacMoody algebra. This is done by replacing the action of X on V with an endomorphism that preserves weight spaces, but which is bar-linear instead of linear.
منابع مشابه
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