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20012024
most citedQuadratic spaces and holomorphic framed vertex operator algebras of central charge 24

34 citations · 157 across the 28 of their papers we have counts for

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28 papers

math.CO2024

Generalised Checkerboard Lattices

Atsushi Matsuo, Hiroki Shimakura

A series of integral lattices parametrised by integers are introduced and investigated, where is the rank of the lattice, including the root lattices described in a uni…

math.QA2024

Automorphism groups of parafermion vertex operator algebras: general case

Ching Hung Lam, Xingjun Lin, Hiroki Shimakura

We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. W…

math.QA2022★ 6 cited

Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge

Koichi Betsumiya, Ching Hung Lam, Hiroki Shimakura

We describe the automorphism groups of all holomorphic vertex operator algebras of central charge with non-trivial weight one Lie algebras by using their constructions as simp…

math.QA2021★ 1 cited

Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries

Koichi Betsumiya, Ching Hung Lam, Hiroki Shimakura

We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices of isometries of the Leech lattice in the conjugacy classe…

math.QA2021★ 1 cited

Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras

Ching Hung Lam, Hiroki Shimakura

In this article, we study the automorphism group of the cyclic orbifold of a vertex operator algebra associated with a rootless even lattice for a lift of a fixed-point free isomet…

math.QA2020★ 26 cited

Schellekens' List and the Very Strange Formula

Jethro van Ekeren, Ching Hung Lam, Sven Möller +1

In 1993 Schellekens proved that the weight-one space of a strongly rational, holomorphic vertex operator algebra of central charge 24 must be one of 71 Lie algebras. Duri…