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林正洪

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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

著作目錄 :

1.  (with Xingjun Lin) A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra math symbols by mimetex, preprint (2017)
2.  (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)
3.  (with Hiroki Shimakura) Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras, Preprint (2017)
4.  (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, Preprint (2017)
5.  (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
6.  (with Hiroshi Yamauchi) The Conway-Miyamoto correspondences for the Fischer 3-transposition groups, preprint (2017)
7.  (with Hiroshi Yamauchi) 3-dimensional Griess algebras and Miyamoto involutions, preprint (2017)
8.  (with H.Y. Chen) Quantum dimensions and fusion rules of the VOA math symbols by mimetex, Journal of Algebra , 459(2016-08), 309-349
9.  (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
10.  (with K. Harada) 'Inverses' of Virasoro operators, Communications in Algebra , 23(1995), no. 12, 4405-4413
11.  Construction of vertex operator algebras form commutative associative algebras, Communications in Algebra , 24(1996), no. 14, 4439-4460
12.  On VOA associated with special Jordan algebras, Communications in Algebra , 27(1999), no. 4, 1665-1681
13.  Twisted repesentations of code vertex operator algebras, Journal of Algebra , 217(1999), no. 7, 275-299
14.  Code vertex operator algebras under coordinates change, Communications in Algebra , 27(1999), no. 9, 4587-4605
15.  (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra math symbols by mimetex, Journal of Algebra , 222(1999), 500-510
16.  (with H. Yamada) math symbols by mimetex codes and vertex operator algebras, Journal of Algebra , 224(2000), 268-291
17.  (with K.Kitazume, and H. Yamada) Decomposition of the Moonshine vertex operator algebra as Virasoro modules, Journal of Algebra , 226(2000), 893-919
18.  Some twisted modules for framed vertex operator algebras, Journal of Algebra , 231(2000), 331-341
19.  Representations of ternary code vertex operator algebras, Communications in Algebra , 29(2001), no. 3, 951-971
20.  Fusion rules for Hamming code vertex operator algebra, Communications in Algebra , 29(2001), no. 5, 2125-2145
21.  (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
22.  Induced modules for orbifold vertex operator algebras, Journal of Mathematical Society of Japan , 53(2001), no. 3, 541-557
23.  (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
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 , 173(2002), no. 1, 15-48
25.  (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
26.  (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
27.  (with H. Yamada) math symbols by mimetex-twisted representations of lattice vertex operator algebras, Communications in Algebra , 31(2003), no. 6, 3001-3020
28.  (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
29.  (with H. Yamada) Decomposition of the lattice vertex operator algebra math symbols by mimetex, Journal of Algebra , 272(2004), no. 2, 614-624
30.  (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
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 (2005), no. 3, 117-181
32.  (with T. S. Chen) Extension of the tensor product of unitary Virasoro vertex operator algebras, Communications in Algebras , 35(2007), no. 8, 2487-2505
33.  (with M. Miyamoto) Niemeier Lattices, Coxeter elements and McKay's E8 observation on the Monster simple group, Intern. Math. Res. Notices (2006), 0-0
34.  (with H. Yamauchi) A characterization of the moonshine vertex operator algebra by means of Virasoro frames, Intern. Math. Res. Notices , 2007(2007), 0-0
35.  (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
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 , 359(2007), no. 9, 4107-4123
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, 597-626
38.  (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
39.  (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
40.  (with R.L. Griess Jr.) Rootless pairs of EE8-lattices, Electronic Research Announcements in Mathematical Sciences , 15(2008), 52-61
41.  (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
42.  (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
43.  (with H. Shimakura) Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4-Frames, Int. Math. Res. Notices , 2009(2009), 4547-4577
44.  (with C. Dong,and H. Yamada) W-algebras related to parafermion algebras, J. Algebra , 332(2009), 2236-2043
45.  (with C. Dong, Q. Wang and H. Yamada) The structure of parafermion vertex operator algebras, J. Algebra , 323(2010), no. 2, 371-381
46.  (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
47.  On the constructions of holomorphic vertex operator algebras of central charge 24, Comm. Math. Phys. , 305(2011), no. 1, 153-198
48.  (with R. L. Griess) A moonshine path from math symbols by mimetex to the Monster, J. Pure and Applied Algebra , 215(2011), 927-948
49.  (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
50.  (with Gerald Hoehn; Hiroshi Yamauchi) McKay's math symbols by mimetex observations on the Baby Monster, Inter. Math. Res. Not. , 2012(2012), 166-212
51.  (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
52.  (with G. Hoehn, H. Yamauchi) McKay's math symbols by mimetex observation on the largest Fischer group, Comm. Math. Phys. , 310(2012), 329-365
53.  (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
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, 540-576(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), 555-573
56.  (with C.S. Su) Griess algebras generated by 3 Ising vectors of central 2A-type, J. algebra , 374(2013), 141-166
57.  (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
58.  (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
59.  (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
60.  (with H. Shimakura) Classification of holomorphic framed vertex operator algebras of central charge 24, Amer. J. Math , 137(2015), no. 1, 111-137
61.  A level-rank duality for parafermion vertex operator algebras of type A, Proc. Amer. Math. Soc. , 142(2014), no. 12, 4133-4142
62.  (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
63.  (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
64.  (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)
65.  (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
66.  (with R.L. Griess Jr.) Groups of Lie Type, Vertex Algebras, and Modular Moonshine, International Mathematics Research Notices (2015), 0-0