Publications (Last update 2020/10/26)
See also arXiv and MathSciNet .
- J. van Ekeren, C.H. Lam, S. Moller and H.Shimakura, Schellekens' List and the Very Strange Formula, Adv. Math., 380, (2021), 107567.
- H. Shimakura, Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the -1-isometries, J. Math. Soc. Japan. 72 (2020), 1119--1143.
- C.H. Lam & H. Shimakura, Inertia groups and uniqueness of holomorphic vertex operator algebras, Transform. Groups 25, (2020) 1223--1268.
- C.H. Lam & H. Shimakura, Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras, Trans. Amer. Math. Soc. 372 (2019), 7001--7024 .
- C.H. Lam & H. Shimakura,
On orbifold constructions associated with the Leech lattice vertex operator algebra, Math. Proc. Cambridge Philos. Soc. 168 (2020), 261-–285.
- C.H. Lam & H. Shimakura, 71 holomorphic vertex operator algebras of central charge 24, Bull. Inst. Math. Acad. Sin. (N.S.) 14 (2019), 87--118.
- C.H. Lam & H. Shimakura, Construction of Holomorphic Vertex Operator Algebras of Central Charge 24 Using the Leech Lattice and Level p Lattices , (non-refereed), Bull. Inst. Math. Acad. Sin. (N.S.) 12 (2017), 39--70.
- H.Y. Chen, C.H. Lam & H. Shimakura, $\mathbb{Z}_3$-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster , Math. Z. 288 (2018), 75--100.
- C.H. Lam & H. Shimakura, A holomorphic vertex operator algebra of central charge 24 whose
weight one Lie algebra has type $A_{6,7}$ , Lett. Math. Phys. 106 (2016), 1575--1585.
- T. Hashikawa & H. Shimakura, Classification of the vertex operator algebras $V_L^+$ of class $\mathcal{S}^ {4}$ , J. Algebra. 456 (2016), 151--181.
- H. Maruoka, A. Matsuo & H. Shimakura, Classification of vertex operator algebras of class $\mathcal{S}^ {4}$ with minimal conformal weight one , J. Math. Soc. Japan. 68 (2016), 1369--1388.
- C.H. Lam & H. Shimakura, Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms , Comm. Math. Phys. 342 (2016), 803--841.
- M. Ishii, D. Sagaki & H. Shimakura, Automorphisms of Niemeier lattices for
Miyamoto's $\mathbb{Z}_{3}$-orbifold construction, Math. Z. 280 (2015), 55--83.
- D. Sagaki & H. Shimakura, Application of a $\mathbb{Z}_{3}$-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices , Trans. Amer. Math. Soc. 368 (2016), 1621--1646.
- C.H. Lam & H. Shimakura, Classification of holomorphic framed vertex operator algebras of central charge 24, Amer. J. Math. 137 (2015), 111--137.
- H. Shimakura, The automorphism group of the $Z_2$-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 , Math. Proc. Cambridge Philos. Soc. 156 (2014), 343--361.
- H. Shimakura, Classification of Ising vectors in the vertex operator algebra $V_L^+$ , Pacific J. Math. 258 (2012), 487--495.
- H. Shimakura, On isomorphism problems for vertex operator algebras associated with even lattices, Proc. Amer. Math. Soc. 140 (2012), 3333--3348.
- C.H. Lam & H. Shimakura, Quadratic spaces and holomorphic framed vertex operator algebras of
central charge 24 , Proc. London Math. Soc. 104 (2012), 540--576.
- H. Shimakura, An $E_8$-approach to the moonshine vertex operator algebra , J. London Math. Soc. 83 (2011), 493--516.
- C.H. Lam & H. Shimakura, Frame Stabilizers for framed vertex operator
algebras associated to lattices having 4-frames , Int. Math. Res. Not.
IMRN (2009), 4547--4577.
- C.H. Lam & H. Shimakura, Ising vectors in the vertex
operator algebra $V_\Lambda^+$ associated with the Leech lattice $\Lambda$ , Int.
Math. Res. Not. IMRN (2007) ID rnm132, 21 pp.
- H. Shimakura, Lifts of automorphisms of vertex operator algebras in simple current extensions , Math. Z. 256 (2007), 491--508.
- H. Shimakura, The automorphism groups of the vertex operator algebras $V_L^+$: general case , Math. Z. 252 (2006), 849--862.
- H. Shimakura, The automorphism group of the vertex operator algebra $V_L^+$ for
an even lattice $L$ without roots , J. Algebra 280 (2004), 29--57.
- H. Shimakura, Decompositions of the moonshine module with respect to subVOAs associated to codes over $Z_{2k}$ , J. Algebra 251 (2002) 308--322.