Abstract
By using the lattice VOA $V_{\sqrt{2}A_n}$, we construct a class of vertex operator algebras $\{M^{(n)}|\, n=2,3,4, \dots\}$ as coset subalgebras. We show that the VOA $M=M^{(n)}$ is generated by its weight $2$ subspace and the symmetric group $S_{n+1}$, which is isomorphic to the Weyl group $W(A_n)$ of the root system of type $A_n$, acts faithfully on $M$. Moreover, some irreducible modules of $M$ are constructed using the coset construction.
Citation
Ching-Hung Lam. Shinya Sakuma. "ON A CLASS OF VERTEX OPERATOR ALGEBRAS HAVING A FAITHFUL Sn+1-ACTION." Taiwanese J. Math. 12 (9) 2465 - 2488, 2008. https://doi.org/10.11650/twjm/1500405190
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