Intertwining Operators Associated to a Family of Differential-Reflection Operators
نویسندگان
چکیده
منابع مشابه
Differential equations and intertwining operators
We show that if every module W for a vertex operator algebra V = ∐ n∈Z V(n) satisfies the condition dimW/C1(W ) < ∞, where C1(W ) is the subspace of W spanned by elements of the form u−1w for u ∈ V+ = ∐ n>0 V(n) and w ∈W , then matrix elements of products and iterates of intertwining operators satisfy certain systems of differential equations. Moreover, for prescribed singular points, there exi...
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For each of the two series of groups, three series of representations U„, D„, and H„ (n e Z) are considered. For each series of representations there is a differential operator with the property, that raised to the nth power (n > 0), it intertwines the representations indexed by — n and n. The operators are generalizations of the d'Alembertian, the Diracoperator and a combination of the two. Un...
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2016
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-016-0736-2