activity
20042019
most citedZhu's algebra, C_2-algebra and C_2-cofiniteness of parafermion vertex operator algebras

15 citations · 43 across the 13 of their papers we have counts for

collaborators

13 papers

math.RT2019

-code vertex operator algebras

Hiromichi Yamada, Hiroshi Yamauchi

We study a simple, self-dual, rational, and -cofinite vertex operator algebra of CFT-type whose simple current modules are graded by . Based on those simple c…

math.RT2019★ 2 cited

-code vertex operator algebras

Tomoyuki Arakawa, Hiromichi Yamada, Hiroshi Yamauchi

We introduce a simple, self-dual, rational, and -cofinite vertex operator algebra of CFT-type associated with a -code for based on the -s…

math.RT2018★ 1 cited

Simple current extensions of tensor products of vertex operator algebras

Hiromichi Yamada, Hiroshi Yamauchi

We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the s…

math.QA2017★ 1 cited

Extensions of tensor products of -orbifold models of the lattice vertex operator algebra

Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada

Let be an odd prime and let be an order automorphism of which is a lift of a -cycle in the Weyl group ${\rm Weyl}(A_{p-1})\cong {\mathf…

math.QA2017★ 1 cited

A remark on -orbifold constructions of the Moonshine vertex operator algebra

Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada

For , we consider a -orbifold construction of the Moonshine vertex operator algebra . We show that the vertex operator algebra obtained by…

math.RT2017★ 6 cited

Parafermion vertex operator algebras and W-algebras

Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada

We prove the conjectual isomorphism between the level -parafermion vertex operator algebra and the minimal series -algebra for all integers $k…