Hiroki Shimakura | Publications

Publications (Last update 2020/10/26)

See also arXiv and MathSciNet .

  1. J. van Ekeren, C.H. Lam, S. Moller and H.Shimakura, Schellekens' List and the Very Strange Formula, Adv. Math., 380, (2021), 107567.
  2. 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.
  3. C.H. Lam & H. Shimakura, Inertia groups and uniqueness of holomorphic vertex operator algebras, Transform. Groups 25, (2020) 1223--1268.
  4. C.H. Lam & H. Shimakura, Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras, Trans. Amer. Math. Soc. 372 (2019), 7001--7024 .
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. T. Hashikawa & H. Shimakura, Classification of the vertex operator algebras $V_L^+$ of class $\mathcal{S}^ {4}$ , J. Algebra. 456 (2016), 151--181.
  11. 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.
  12. C.H. Lam & H. Shimakura, Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms , Comm. Math. Phys. 342 (2016), 803--841.
  13. M. Ishii, D. Sagaki & H. Shimakura, Automorphisms of Niemeier lattices for Miyamoto's $\mathbb{Z}_{3}$-orbifold construction, Math. Z. 280 (2015), 55--83.
  14. 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.
  15. C.H. Lam & H. Shimakura, Classification of holomorphic framed vertex operator algebras of central charge 24, Amer. J. Math. 137 (2015), 111--137.
  16. 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.
  17. H. Shimakura, Classification of Ising vectors in the vertex operator algebra $V_L^+$ , Pacific J. Math. 258 (2012), 487--495.
  18. H. Shimakura, On isomorphism problems for vertex operator algebras associated with even lattices, Proc. Amer. Math. Soc. 140 (2012), 3333--3348.
  19. 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.
  20. H. Shimakura, An $E_8$-approach to the moonshine vertex operator algebra , J. London Math. Soc. 83 (2011), 493--516.
  21. 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.
  22. 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.
  23. H. Shimakura, Lifts of automorphisms of vertex operator algebras in simple current extensions , Math. Z. 256 (2007), 491--508.
  24. H. Shimakura, The automorphism groups of the vertex operator algebras $V_L^+$: general case , Math. Z. 252 (2006), 849--862.
  25. 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.
  26. H. Shimakura, Decompositions of the moonshine module with respect to subVOAs associated to codes over $Z_{2k}$ , J. Algebra 251 (2002) 308--322.