209 citations · 1.5k across the 128 of their papers we have counts for
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Duality in infinite dimensional Fock representations
Weiqiang Wang
We construct and study in detail various dual pairs acting on some Fock representations between a finite dimensional Lie group and a completed infinite rank affine algebra associat…
Dual pairs and tensor categories of modules over Lie algebras gl_{\infty} and W_{1 +\infty}
Weiqiang Wang
We introduce a tensor category O_+ (resp. O_{-}) of certain modules of gl_{\infty} with non-negative (resp. non-positive) integral central charges with the usual tensor product. We…
Classification of irreducible modules of W_3 algebra with c = -2
Weiqiang Wang
We construct irreducible modules V_α, α\in \C over W_3 algebra with c = -2 in terms of a free bosonic field. We prove that these modules exhaust all the irreducible modules of W_3…
W{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization
Weiqiang Wang
We show that the vertex algebra W{1+ \infty} with central charge -1 is isomorphic to a tensor product of the simple W_3 algebra with central charge -2 and a Heisenberg vertex algeb…