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Lam, Ching Hung

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Dr. Lam's research interest is on the structural and representation theory of vertex operator algebras and their applications to the theory of sporadic simple groups. In particular, he is interested in a special vertex operator algebra called Moonshine vertex operator algebra whose full automorphism group is the Monster simple group.


Email : chlam AT math.sinica.edu.tw
Phone:+886 2 2368-5999 ext. 705
Fax: +886 2 2368-9771

Publications :

1.  (with C. P. Jiang) Level-Rank Duality for Vertex Operator Algebras of types B and D, preprint (2018)
2.  (with T. Arakawa, H. Yamada) Parafermion vertex operator algebras and W-algebras, (2018)
3.  (with H. Shimakura) On orbifold constructions associated with the Leech lattice vertex operator algebra, (2018)
4.  (with T. Abe, H. Yamada) On math symbols by mimetex-orbifold constructions of the Moonshine vertex operator algebra, Mathematische Zeitschrift (2018)
5.  (with T. Abe, H. Yamada) Extensions of tensor products of math symbols by mimetex-orbifold models of the lattice vertex operator algebra math symbols by mimetex, preprint (2018)
6.  (with Chongying Dong, Li Ren) Modular framed vertex operator algebras, preprint (2018)
7.  (with Xingjun Lin) A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra math symbols by mimetex, preprint (2017)
8.  (with Hsian-Yang Chen, Hiroki Shimakura) math symbols by mimetex-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster, Mathematische Zeitschrift (2017)
9.  (with Hiroki Shimakura) Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras, Preprint (2017)
10.  (with Kazuya Kawasetsu, Xingjun Lin) math symbols by mimetex-orbifold construction associated with math symbols by mimetex-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24, Proceedings of Amer. Math. Soc. (2017)
11.  (with H. Shimakura) A holomorphic vertex operator algebras of central charge 24 whose weight one Lie algebra has type math symbols by mimetex, Letters in Mathematical Physics , 106(2016), 1575-1585
12.  (with Hiroshi Yamauchi) The Conway-Miyamoto correspondences for the Fischer 3-transposition groups, preprint (2017)
13.  (with Hiroshi Yamauchi) 3-dimensional Griess algebras and Miyamoto involutions, preprint (2017)
14.  (with H.Y. Chen) Quantum dimensions and fusion rules of the VOA math symbols by mimetex, Journal of Algebra , 459(2016-08), 309-349
15.  (with H. Shimakura) Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms, Communications in Mathematical Physics , 342(2016-03), no. 3, 803-841
16.  (with K. Harada) 'Inverses' of Virasoro operators, Communications in Algebra , 23(1995), no. 12, 4405-4413
17.  Construction of vertex operator algebras form commutative associative algebras, Communications in Algebra , 24(1996), no. 14, 4439-4460
18.  On VOA associated with special Jordan algebras, Communications in Algebra , 27(1999), no. 4, 1665-1681
19.  Twisted repesentations of code vertex operator algebras, Journal of Algebra , 217(1999), no. 7, 275-299
20.  Code vertex operator algebras under coordinates change, Communications in Algebra , 27(1999), no. 9, 4587-4605
21.  (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra math symbols by mimetex, Journal of Algebra , 222(1999), 500-510
22.  (with H. Yamada) math symbols by mimetex codes and vertex operator algebras, Journal of Algebra , 224(2000), 268-291
23.  (with K.Kitazume, and H. Yamada) Decomposition of the Moonshine vertex operator algebra as Virasoro modules, Journal of Algebra , 226(2000), 893-919
24.  Some twisted modules for framed vertex operator algebras, Journal of Algebra , 231(2000), 331-341
25.  Representations of ternary code vertex operator algebras, Communications in Algebra , 29(2001), no. 3, 951-971
26.  Fusion rules for Hamming code vertex operator algebra, Communications in Algebra , 29(2001), no. 5, 2125-2145
27.  (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra math symbols by mimetex, Communications in Contemporary Mathematics , 3(2001), no. 1, 137-151
28.  Induced modules for orbifold vertex operator algebras, Journal of Mathematical Society of Japan , 53(2001), no. 3, 541-557
29.  (with M. Kitazume, and H. Yamada) A class of vertex operator algebras constructed from math symbols by mimetex-codes, Journal of Algebra (2001), 338-359
30.  (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 , 173(2002), no. 1, 15-48
31.  (with M. Kitazume, and H. Yamada) 3-state Potts model, Moonshine vertex operator algebra and 3A-elements of the Monster group, International Mathematics Research Notices , 23(2003), 1269-1303
32.  (with N. Lam, and H. Yamauchi) Extension of unitary Virasoro vertex operator algebra by a simple module, International Mathematics Research Notices , 11(2003), 577-611
33.  (with H. Yamada) math symbols by mimetex-twisted representations of lattice vertex operator algebras, Communications in Algebra , 31(2003), no. 6, 3001-3020
34.  (with Yamada H) Tricritical 3-state Potts model and vertex operator algebras constructed from ternary codes, Communications in Algebra , 32(2004), no. 11, 4197-4219
35.  (with H. Yamada) Decomposition of the lattice vertex operator algebra math symbols by mimetex, Journal of Algebra , 272(2004), no. 2, 614-624
36.  (with C. Dong, K. Tanabe, H. Yamada, and K. Yokoyama) math symbols by mimetex symmetry and math symbols by mimetex algebra in lattice vertex operator algebras, Pacific Journal of Mathematics , 215(2004), no. 5, 245-296
37.  (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 (2005), no. 3, 117-181
38.  (with T. S. Chen) Extension of the tensor product of unitary Virasoro vertex operator algebras, Communications in Algebras , 35(2007), no. 8, 2487-2505
39.  (with M. Miyamoto) Niemeier Lattices, Coxeter elements and McKay's E8 observation on the Monster simple group, Intern. Math. Res. Notices (2006), 0-0
40.  (with H. Yamauchi) A characterization of the moonshine vertex operator algebra by means of Virasoro frames, Intern. Math. Res. Notices , 2007(2007), 0-0
41.  (with C. Dong, R. L. Griess) Uniqueness results of Frenkel–Lepowsky -Meurman's moonshine vertex operator algebra, American Journal of Mathematics , 129(2007), no. 2, 583-609
42.  (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 , 359(2007), no. 9, 4107-4123
43.  (with S. Sakuma and H. Yamauchi) Ising vectors and automorphism groups of commutant subalgebras related to root systems, Mathematische Zeitschrift , 255(2007), no. 3, 597-626
44.  (with H. Shimakura) Ising vectors in the vertex operator algebra math symbols by mimetex associated with the Leech lattice Λ, Intern. Math. Res. , 2007(2007), 0-0
45.  (with H. Yamauchi) On the structure of framed vertex operator algebras and their pointwise frame stabilizers, Commun. Math. Phys. , 277(2008), no. 1, 237-285
46.  (with R.L. Griess Jr.) Rootless pairs of EE8-lattices, Electronic Research Announcements in Mathematical Sciences , 15(2008), 52-61
47.  (with C. Dong,and H. Yamada) W-algebras 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 , 2007(2008), no. 35, 25-35
48.  (with S. Sakuma) On a class of vertex operator algebras having a faithful math symbols by mimetex-action, Taiwanese J. Math , 12(2008), no. 9, 2465-2488
49.  (with H. Shimakura) Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4-Frames, Int. Math. Res. Notices , 2009(2009), 4547-4577
50.  (with C. Dong,and H. Yamada) W-algebras related to parafermion algebras, J. Algebra , 332(2009), 2236-2043
51.  (with C. Dong, Q. Wang and H. Yamada) The structure of parafermion vertex operator algebras, J. Algebra , 323(2010), no. 2, 371-381
52.  (with R.L. Griess Jr.) Dihedral groups and Sums of math symbols by mimetex-lattices, Pure and applied mathematics quarterly , 7(2011), no. 3, 621-743
53.  On the constructions of holomorphic vertex operator algebras of central charge 24, Comm. Math. Phys. , 305(2011), no. 1, 153-198
54.  (with R. L. Griess) A moonshine path from math symbols by mimetex to the Monster, J. Pure and Applied Algebra , 215(2011), 927-948
55.  (with Robert L. Griess Jr.) A moonshine path for math symbols by mimetex and associated lattices of ranks 8 and 16, J. Algebra , 331(2011), 338-361
56.  (with Gerald Hoehn; Hiroshi Yamauchi) McKay's math symbols by mimetex observations on the Baby Monster, Inter. Math. Res. Not. , 2012(2012), 166-212
57.  (with R.L. Griess, Jr.) Diagonal lattices and rootless math symbols by mimetex pairs, J. Pure and Applied Algebra , 216(2012), no. 1, 154-169
58.  (with G. Hoehn, H. Yamauchi) McKay's math symbols by mimetex observation on the largest Fischer group, Comm. Math. Phys. , 310(2012), 329-365
59.  (with Masaaki Harada; Akihiro Munemasa) Residue codes of extremal Type II math symbols by mimetex-codes and the moonshine vertex operator algebra, Math. Z. , 274(2013), no. 1, 685-700
60.  (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, 540-576(doi: 10.1112/plms/pdr041)
61.  (with Robert L.~Griess Jr.) A new existence proof of the Monster by VOA theory, Michigan Mathematical Journal , 61(2012), 555-573
62.  (with C.S. Su) Griess algebras generated by 3 Ising vectors of central 2A-type, J. algebra , 374(2013), 141-166
63.  (with R.L. Griess) Moonshine paths for math symbols by mimetex and math symbols by mimetex nodes of the extended math symbols by mimetex-diagram, J. Algebra , 379(2013), 85-112
64.  (with H.Y. Chen) Coset Construction of math symbols by mimetex orbifold vertex operator algebra math symbols by mimetex, J. Pure and Applied Algebra , 218(2014), no. 1, 148-173
65.  (with T. Arakawa, H. Yamada) Zhu's algebras, math symbols by mimetex-algebras and math symbols by mimetex-cofiniteness of parafermion vertex operator algebras, Adv. Math. , 264(2014), 261-295
66.  (with H. Shimakura) Classification of holomorphic framed vertex operator algebras of central charge 24, Amer. J. Math , 137(2015), no. 1, 111-137
67.  A level-rank duality for parafermion vertex operator algebras of type A, Proc. Amer. Math. Soc. , 142(2014), no. 12, 4133-4142
68.  (with C.S. Su) Griess algebras generated by the Griess algebras of two 3A-algebras with a common axis, J. Math Soc. Japan , 67(2015-04), no. 2, 453-476
69.  (with H.Y. Chen) An explicit Majorana representation of the group math symbols by mimetex of math symbols by mimetex-pure type, Pacific Journal of Mathematics , 271(2014), no. 1, 25-51
70.  (with Hsian Yang Chen) Weyl groups and vertex operator algebras generated by Ising vectors satisfying math symbols by mimetex condition, Rev. Math. Phys. , 26(2014), no. 6, 1450011-(24 pages)
71.  (with H. Yamauchi) On 3-transposition groups generated by math symbols by mimetex-involutions associated to math symbols by mimetex Virasoro vectors, J. Algebra , 416(2014), 84-121
72.  (with R.L. Griess Jr.) Groups of Lie Type, Vertex Algebras, and Modular Moonshine, International Mathematics Research Notices (2015), 0-0