Vertex operator algebra arising from the minimal series M(3,p) and monomial basis
Abstract
We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p=4 to the level two integrable vacuum module of $\hat{sl}_2$. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of $\hat{sl}_2$. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semiinfinite monomial basis of V. We also give a Gordon type formula for their characters.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2000
 DOI:
 10.48550/arXiv.math/0012193
 arXiv:
 arXiv:math/0012193
 Bibcode:
 2000math.....12193F
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Combinatorics;
 Mathematics  Representation Theory;
 17B69 (Primary);
 17B68 (Secondary)
 EPrint:
 28 pages