最近の論文

  1. Cuipo Jiang, Ching Hung Lam and Hiroshi Yamauchi:
    The classification of vertex operator algebras of OZ-type generated by Ising vectors of \(\sigma\)-type.
    Advances in Mathematics 465 (April 2025).
    DOI: 10.1016/j.aim.2025.110146
    arXiv:2312.09713

出版済みの論文

  1. Ching Hung Lam and Hiroshi Yamauchi:
    The Conway-Miyamoto correspondences for the Fischer 3-transposition groups.
    Transactions of the American Mathematical Society 375 (2022), 2025-2067.
    DOI: 10.1090/tran/8589
    arXiv:1604.04989

  2. Hiromichi Yamada and Hiroshi Yamauchi:
    \(\mathbb{Z}_{2k}\)-code vertex operator algebras.
    Journal of Algebra 573 (2021), 451-475.
    DOI: 10.1016/j.jalgebra.2020.12.030
    arXiv:1912.01345

  3. Tomoyuki Arakawa, Hiromichi Yamada and Hiroshi Yamauchi:
    \(\mathbb{Z}_k\)-code vertex operator algebras.
    Journal of the Mathematical Society of Japan 73 (1), 185-209 (January, 2021).
    DOI: 10.2969/jmsj/83278327
    arXiv:1907.10216

  4. Hiromichi Yamada and Hiroshi Yamauchi:
    Simple current extensions of tensor products of vertex operator algebras.
    International Mathematics Research Notices, rnaa107.
    DOI: 10.1093/imrn/rnaa107
    arXiv:1804.08242

  5. J. Connor Grady, Ching Hung Lam, James E. Tener and Hiroshi Yamauchi:
    Classification of extremal vertex operator algebras with two simple modules.
    Journal of Mathematical Physics 61 (2020), 052302.
    DOI: 10.1063/1.5121446
    arXiv:1811.02180

  6. Cuipo Jiang, Ching Hung Lam and Hiroshi Yamauchi:
    Vertex operator algebras generated by Ising vectors of \(\sigma\)-type.
    Mathematische Zeitschrift 293 (2019), 425-442.
    DOI: 10.1007/s00209-018-2184-0
    arXiv:1803.01385

  7. Ching Hung Lam and Hiroshi Yamauchi:
    3-dimensional Griess algebras and Miyamoto involutions.
    The Bulletin of the Institute of Mathematics Academia Sinica New Series Vol. 14, No.2, 2019 June, 119-147.
    DOI: 10.21915/BIMAS.2019201
    arXiv:1604.04470

  8. Tomoyuki Arakawa, Hiromichi Yamada and Hiroshi Yamauchi:
    Vertex Operator Algebras Associated with \( \mathbb{Z}/k\mathbb{Z} \)-Codes.
    Lie Theory and Its Applications in Physics 191 (2016), 513-521.
    DOI: 10.1007/978-981-10-2636-2_38

  9. Ching Hung Lam and Hiroshi Yamauchi:
    On 3-transposition groups generated by \(\sigma\)-involutions associated to c=4/5 Virasoro vectors.
    Journal of Algebra 416 (2014), 84-121.
    DOI: 10.1016/j.jalgebra.2014.06.009
    arXiv:1311.2829

  10. Hiroshi Yamauchi:
    Extended Griess algebras, conformal designs and Matsuo-Norton trace formulae.
    Symmetries and groups in contemporary physics, 423-428.
    Nankai Ser. Pure Appl. Math. Theoret. Phys., 11, World Sci. Publ., Hackensack, NJ, 2013.
    DOI: 10.1142/9789814518550_0058

  11. Hiroshi Yamauchi:
    Extended Griess algebras and Matsuo-Norton trace formulae.
    Conformal Field Theory, Automorphic Forms and Related Topics 75-108.
    Contributions in Mathematical and Computational Sciences, Springer, 2014.
    DOI: 10.1007/978-3-662-43831-2_4
    arXiv:1206.3380

  12. Gerald Höhn, Ching Hung Lam and Hiroshi Yamauchi:
    McKay's \( E_6\) observation on the largest Fischer group.
    Communications in Mathematical Physics 310 Vol. 2 (2012), 329-365.
    DOI: 10.1007/s00220-011-1413-8
    arXiv:1002.1777

  13. Gerald Höhn, Ching Hung Lam and Hiroshi Yamauchi:
    McKay's \( E_7\) observation on the Babymonster.
    International Mathematics Research Notices Vol. 2012 166-212 (2012).
    DOI: 10.1093/imrn/rnr009
    arXiv:1002.1777

  14. Ching Hung Lam and Hiroshi Yamauchi:
    The FLM conjecture and framed VOA.
    Vertex operator algebras and related areas, 125-138.
    Contemporary Mathematics 497, Amer. Math. Soc., Providence, RI, 2009.
    DOI: 10.1090/conm/497/09774

  15. Ching Hung Lam and Hiroshi Yamauchi:
    Binary codes and the classification of holomorphic framed vertex operator algebras.
    RIMS Kokyoroku Bessatsu B8 (2008), 131-150.
    http://hdl.handle.net/2433/174295

  16. Ching Hung Lam and Hiroshi Yamauchi:
    A characterization of the moonshine vertex operator algebra by means of Virasoro frames.
    International Mathematics Research Notices 2007 (2007), aritcle ID:rnm003, 9pages.
    DOI: 10.1093/imrn/rnm003
    arXiv:math/0609718

  17. Ching Hung Lam and Hiroshi Yamauchi:
    On the structure of framed vertex operator algebras and their pointwise frame stabilizers.
    Communications in Mathematical Physics 277 (2008), 237-285.
    DOI: 10.1007/s00220-007-0323-2
    arXiv:math/0605176

  18. Ching Hung Lam, Shinya Sakuma and Hiroshi Yamauchi:
    Ising vectors and automorphism groups of commutant subalgebras related to root systems.
    Mathematische Zeitschrift 255 No. 3 (2007), 597-626.
    DOI: 10.1007/s00209-006-0034-y
    arXiv:math/0507371

  19. Ching Hung Lam, Hiromichi Yamada and Hiroshi Yamauchi:
    McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2.
    International Mathematics Research Papers 3 (2005), 117-181.
    DOI: 10.1155/IMRP.2005.117
    arXiv:math/0503239

  20. Ching Hung Lam, Hiromichi Yamada and Hiroshi Yamauchi:
    Vertex operator algebras, extended \( E_8\) diagram, and McKay's observation on the Monster simple group.
    Transactions of the American Mathematical Society 359 (2007), 4107-4123.
    DOI: 10.1090/S0002-9947-07-04002-0
    arXiv:math/0403010

  21. Hiroshi Yamauchi:
    2A-orbifold construction and the baby-monster vertex operator superalgebra.
    Journal of Algebra 284 (2005), 645-668.
    DOI: 10.1016/j.jalgebra.2004.09.039
    arXiv:math/0312164

  22. Hiroshi Yamauchi:
    Module categories of simple current extensions of vertex operator algebras.
    Journal of Pure and Applied Algebra 189 (2004), 315-328.
    DOI: 10.1016/j.jpaa.2003.10.006
    arXiv:math/0211255

  23. Hiroshi Yamauchi:
    Modularity on vertex operator algebras arising from semisimple primary vectors.
    International Journal of Mathematics 15 vol.1 (2004), 87-109.
    DOI: 10.1142/S0129167X04002193
    arXiv:math/0209026

  24. Shinya Sakuma and Hiroshi Yamauchi:
    Vertex operator algebra with two Miyamoto involutions generating \( S_3\).
    Journal of Algebra 267 (2003), 272-297.
    DOI: 10.1016/S0021-8693(03)00170-4
    arXiv:math/0207117

  25. Ching Hung Lam, Ngau Lam and Hiroshi Yamauchi:
    Extension of unitary Virasoro vertex operator algebra by a simple module.
    International Mathematics Research Notices 11 (2003), 577-611.
    DOI: 10.1155/S1073792803205092

  26. Hiroshi Yamauchi:
    Orbifold Zhu theory associated to intertwining operators.
    Journal of Algebra 265 (2003), 513-538.
    DOI: 10.1016/S0021-8693(03)00097-8
    arXiv:math/0201054

学位論文

戻る