174 citations · 2k across the 74 of their papers we have counts for
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hep-th1994★ 26 cited
Determinant and Character of W-infinity algebra
H. Awata, M. Fukuma, Y. Matsuo +1
We diagonalize the Hilbert space of some subclass of the quasifinite module of the \Winf algebra. States are classified according to their eigenvalues for infinitely many commuting…
hep-th1994★ 12 cited
Quasifinite Highest Weight Modules over Super Algebra
H. Awata, M. Fukuma, Y. Matsuo +1
We study quasifinite highest weight modules over the supersymmetric extension of the algebra on the basis of the analysis by Kac and Radul. We find that the quasifin…
hep-th1994★ 20 cited
Determinant Formulae of Quasi-Finite Representation of W_{1+\infty} Algebra at Lower Levels
H. Awata, M. Fukuma, Y. Matsuo +1
We calculate the Kac determinant for the quasi-finite representation of \Winf algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic const…