Fock space representations of the Virasoro algebra. Intertwining operators
نویسندگان
چکیده
منابع مشابه
On unitary representations of the Virasoro algebra
Some representations π of b of particular interest [2] are the Verma modules (V, π) = (V , π), h, c ǫ R. They are characterized by the following conditions. (i) There is a vector v = vφ 6= 0 in V such that Lnv = 0, n > 0, L0v = hv, Zv = cv. (ii) Let A be the set of sequences of integers k1,≥ k2 ≥ . . . ≥ kr > 0 of arbitrary length, and if α ǫ A let vα = π(L−k1) . . . π(L−kr)vφ. Then {vα|α ǫ A} ...
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We consider representations of the Virasoro algebra, a one-dimensional central extension of the Lie algebra of vectorfields on the unit circle. Positive-energy, highest weight and Verma representations are defined and investigated. The Shapovalov form is introduced, and we study Kac formula for its determinant and some consequences for unitarity and degeneracy of irreducible highest weight repr...
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Some representations π of b of particular interest [2] are the Verma modules (V, π) = (V , π), h, c R. They are characterized by the following conditions. (i) There is a vector v = vφ = 0 in V such that Lnv = 0, n > 0, L0v = hv,Zv = cv. (ii) Let A be the set of sequences of integers k1,≥ k2 ≥ . . . ≥ kr > 0 of arbitrary length, and if α A let vα = π(L−k1) . . . π(L−kr)vφ. Then {vα|α A} is a bas...
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Induced representations and intertwining operators give rise to distributions that represent critical terms in the trace formula. We shall describe a conjectural relationship between these distributions and the LanglandsShelstad-Kottwitz transfer of functions Our goal is to describe a conjectural relationship between intertwining operators and the transfer of functions. One side of the proposed...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1986
ISSN: 0034-5318
DOI: 10.2977/prims/1195178069