2019/03/12 by Nguyen, Danquynh
#FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1903.04665
For a positive-definite, even, integral lattice L, the lattice vertex operator algebra VL is known to be rational and C2-cofinite, and thus the fusion products of its modules always exist. The fusion product of two untwisted irreducible VL-modules is well-known, namely VL+λ \boxtimesVL VL+μ = VL + λ+ μ. In this paper, we determine the other two fusion products: VL+λ \boxtimesVL VLTχ and VL^Tχ1 \boxtimesVL VL^Tχ2.