1.
 (with Xingjun Lin) A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra ,
preprint
(2017)

2.
 (with HsianYang Chen, Hiroki Shimakura) orbifold construction of the Moonshine vertex operator algebra and some maximal 3local subgroups of the Monster,
Mathematische Zeitschrift
(2017)

3.
 (with Hiroki Shimakura) Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras,
Preprint
(2017)

4.
 (with Kazuya Kawasetsu, Xingjun Lin) orbifold construction associated with isometry and uniqueness of holomorphic vertex operator algebras of central charge 24,
Preprint
(2017)

5.
 (with H. Shimakura) A holomorphic vertex operator algebras of central charge 24 whose weight one Lie algebra has type ,
Letters in Mathematical Physics
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6.
 (with Hiroshi Yamauchi) The ConwayMiyamoto correspondences for the Fischer 3transposition groups,
preprint
(2017)

7.
 (with Hiroshi Yamauchi) 3dimensional Griess algebras and Miyamoto involutions,
preprint
(2017)

8.
 (with H.Y. Chen) Quantum dimensions and fusion rules of the VOA ,
Journal of Algebra
, 459(201608), 309349

9.
 (with H. Shimakura) Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms,
Communications in Mathematical Physics
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10.
 (with K. Harada) 'Inverses' of Virasoro operators,
Communications in Algebra
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11.
 Construction of vertex operator algebras form commutative associative algebras,
Communications in Algebra
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12.
 On VOA associated with special Jordan algebras,
Communications in Algebra
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13.
 Twisted repesentations of code vertex operator algebras,
Journal of Algebra
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14.
 Code vertex operator algebras under coordinates change,
Communications in Algebra
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15.
 (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra ,
Journal of Algebra
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16.
 (with H. Yamada) codes and vertex operator algebras,
Journal of Algebra
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17.
 (with K.Kitazume, and H. Yamada) Decomposition of the Moonshine vertex operator algebra as Virasoro modules,
Journal of Algebra
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18.
 Some twisted modules for framed vertex operator algebras,
Journal of Algebra
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19.
 Representations of ternary code vertex operator algebras,
Communications in Algebra
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20.
 Fusion rules for Hamming code vertex operator algebra,
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21.
 (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra ,
Communications in Contemporary Mathematics
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22.
 Induced modules for orbifold vertex operator algebras,
Journal of Mathematical Society of Japan
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23.
 (with M. Kitazume, and H. Yamada) A class of vertex operator algebras constructed from codes,
Journal of Algebra
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24.
 (with M. Kitazume, and H. Yamada) Moonshine vertex operator algebra as L(1/2,0) × L(7/10,0) × L(4/5,0) × L(1,0) modules,
Journal of Pure and Applied Algebra
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25.
 (with M. Kitazume, and H. Yamada) 3state Potts model, Moonshine vertex operator algebra and 3Aelements of the Monster group,
International Mathematics Research Notices
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26.
 (with N. Lam, and H. Yamauchi) Extension of unitary Virasoro vertex operator algebra by a simple module,
International Mathematics Research Notices
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27.
 (with H. Yamada) twisted representations of lattice vertex operator algebras,
Communications in Algebra
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28.
 (with Yamada H) Tricritical 3state Potts model and vertex operator algebras constructed from ternary codes,
Communications in Algebra
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29.
 (with H. Yamada) Decomposition of the lattice vertex operator algebra ,
Journal of Algebra
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30.
 (with C. Dong, K. Tanabe, H. Yamada, and K. Yokoyama) symmetry and algebra in lattice vertex operator algebras,
Pacific Journal of Mathematics
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31.
 (with H. Yamada, and H. Yamauchi) McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2,
Intern. Math. Res. Paper
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32.
 (with T. S. Chen) Extension of the tensor product of unitary Virasoro vertex operator algebras,
Communications in Algebras
, 35(2007), no. 8, 24872505

33.
 (with M. Miyamoto) Niemeier Lattices, Coxeter elements and McKay's E8 observation on the Monster simple group,
Intern. Math. Res. Notices
(2006), 00

34.
 (with H. Yamauchi) A characterization of the moonshine vertex operator algebra by means of Virasoro frames,
Intern. Math. Res. Notices
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35.
 (with C. Dong, R. L. Griess) Uniqueness results of Frenkel–Lepowsky Meurman's moonshine vertex operator algebra,
American Journal of Mathematics
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36.
 (with H. Yamada and H. Yamauchi) Vertex operator algebra, extended E8 diagram and McKay’s observation on the Monster simple group,
Transactions of American Mathematical Society
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37.
 (with S. Sakuma and H. Yamauchi) Ising vectors and automorphism groups of commutant subalgebras related to root systems,
Mathematische Zeitschrift
, 255(2007), no. 3, 597626

38.
 (with H. Shimakura) Ising vectors in the vertex operator algebra associated with the Leech lattice Λ,
Intern. Math. Res.
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39.
 (with H. Yamauchi) On the structure of framed vertex operator algebras and their pointwise frame stabilizers,
Commun. Math. Phys.
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40.
 (with R.L. Griess Jr.) Rootless pairs of EE8lattices,
Electronic Research Announcements in Mathematical Sciences
, 15(2008), 5261

41.
 (with C. Dong,and H. Yamada) Walgebras in lattice vertex operator algebras, in Lie Theory and Its Applications in Physics VII, ed. by H.D. Doebner and V. K. Dobrev, Proc. of the VII International Workshop,
Varna, Bulgaria
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42.
 (with S. Sakuma) On a class of vertex operator algebras having a faithful action,
Taiwanese J. Math
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43.
 (with H. Shimakura) Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4Frames,
Int. Math. Res. Notices
, 2009(2009), 45474577

44.
 (with C. Dong,and H. Yamada) Walgebras related to parafermion algebras,
J. Algebra
, 332(2009), 22362043

45.
 (with C. Dong, Q. Wang and H. Yamada) The structure of parafermion vertex operator algebras,
J. Algebra
, 323(2010), no. 2, 371381

46.
 (with R.L. Griess Jr.) Dihedral groups and Sums of lattices,
Pure and applied mathematics quarterly
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47.
 On the constructions of holomorphic vertex operator algebras of central charge 24,
Comm. Math. Phys.
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48.
 (with R. L. Griess) A moonshine path from to the Monster,
J. Pure and Applied Algebra
, 215(2011), 927948

49.
 (with Robert L. Griess Jr.) A moonshine path for and associated lattices of ranks 8 and 16,
J. Algebra
, 331(2011), 338361

50.
 (with Gerald Hoehn; Hiroshi Yamauchi) McKay's observations on the Baby Monster,
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51.
 (with R.L. Griess, Jr.) Diagonal lattices and rootless pairs,
J. Pure and Applied Algebra
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52.
 (with G. Hoehn, H. Yamauchi) McKay's observation on the largest Fischer group,
Comm. Math. Phys.
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53.
 (with Masaaki Harada; Akihiro Munemasa) Residue codes of extremal Type II codes and the moonshine vertex operator algebra,
Math. Z.
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54.
 (with H. Shimakura) Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24,
Proceedings of the London Mathematical Society
, 104(2012), no. 3, 540576(doi: 10.1112/plms/pdr041)

55.
 (with Robert L.~Griess Jr.) A new existence proof of the Monster by VOA theory,
Michigan Mathematical Journal
, 61(2012), 555573

56.
 (with C.S. Su) Griess algebras generated by 3 Ising vectors of central 2Atype,
J. algebra
, 374(2013), 141166

57.
 (with R.L. Griess) Moonshine paths for and nodes of the extended diagram,
J. Algebra
, 379(2013), 85112

58.
 (with H.Y. Chen) Coset Construction of orbifold vertex operator algebra ,
J. Pure and Applied Algebra
, 218(2014), no. 1, 148173

59.
 (with T. Arakawa, H. Yamada) Zhu's algebras, algebras and cofiniteness of parafermion vertex operator algebras,
Adv. Math.
, 264(2014), 261295

60.
 (with H. Shimakura) Classification of holomorphic framed vertex operator algebras of central charge 24,
Amer. J. Math
, 137(2015), no. 1, 111137

61.
 A levelrank duality for parafermion vertex operator algebras of type A,
Proc. Amer. Math. Soc.
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62.
 (with C.S. Su) Griess algebras generated by the Griess algebras of two 3Aalgebras with a common axis,
J. Math Soc. Japan
, 67(201504), no. 2, 453476

63.
 (with H.Y. Chen) An explicit Majorana representation of the group of pure type,
Pacific Journal of Mathematics
, 271(2014), no. 1, 2551

64.
 (with Hsian Yang Chen) Weyl groups and vertex operator algebras generated by Ising vectors satisfying condition,
Rev. Math. Phys.
, 26(2014), no. 6, 1450011(24 pages)

65.
 (with H. Yamauchi) On 3transposition groups generated by involutions associated to Virasoro vectors,
J. Algebra
, 416(2014), 84121

66.
 (with R.L. Griess Jr.) Groups of Lie Type, Vertex Algebras, and Modular Moonshine,
International Mathematics Research Notices
(2015), 00
