منابع مشابه
Classification of Structure Constants for W-algebras from Highest Weights
We show that the structure constants of W-algebras can be grouped according to the lowest (bosonic) spin(s) of the algebra. The structure constants in each group are described by a unique formula, depending on a functional parameter h(c) that is characteristic for each algebra. As examples we give the structure constants C4 33 and C4 44 for the algebras of type W(2, 3, 4, . . .) (that include t...
متن کاملRemarks on Finite W Algebras
The property of some finite W algebras to be the commutant of a particular subalgebra of a simple Lie algebra G is used to construct realizations of G. When G ≃ so(4, 2), unitary representations of the conformal and Poincaré algebras are recognized in this approach, which can be compared to the usual induced representation technique. When G ≃ sp(2,R) or sp(4,R ), the anyonic parameter can be se...
متن کاملOn Deformed W-algebras and Quantum Affine Algebras
We discuss some aspects of the deformed W-algebras Wq,t[g]. In particular, we derive an explicit formula for the Kac determinant, and discuss the center when t is a primitive k-th root of unity. The relation of the structure of Wq,t[g] to the representation ring of the quantum affine algebra Uq(ĝ), as discovered recently by Frenkel and Reshetikhin, is further elucidated in some examples. ADP-97...
متن کاملW 3 constructions on affine Lie algebras
We use an argument of Romans showing that every Virasoro construction leads to realizations of W3, to construct W3 realizations on arbitrary affine Lie algebras. Solutions are presented for generic values of the level as well as for specific values of the level but with arbitrary parameters. We give a detailed discussion of the ŝu(2)l-case. Finally, we discuss possible applications of these rea...
متن کاملSerre Weights for Quaternion Algebras
We study the possible weights of an irreducible 2-dimensional mod p representation of Gal(F/F ) which is modular in the sense of that it comes from an automorphic form on a definite quaternion algebra with centre F which is ramified at all places dividing p, where F is a totally real field. In most cases we determine the precise list of possible weights; in the remaining cases we determine the ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1975
ISSN: 0022-1236
DOI: 10.1016/0022-1236(75)90060-9