Representations of the affine-Virasoro algebra of type A1
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...
متن کاملOn 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 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...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Lie triple derivation algebra of Virasoro-like algebra
Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2016
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2016.03.009