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E-grāmata: Moonshine, the Monster, and Related Topics

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  • Formāts: 368 pages
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 11-Jan-2011
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9780821877845
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Moonshine, the Monster, and Related Topics
  • Formāts: 368 pages
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 11-Jan-2011
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9780821877845
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'One of the great legacies of the classification of the finite simple groups is the existence of the Monster $\ldots$. Work of Borcherds and Frenkel-Lepowsky-Meurman led to the notion of a vertex (operator) algebra, which was seen to be the same as the chiral algebras used by physicists in conformal field theory $\ldots$. The connections with physics have proven to be invaluable, and it seems likely that another branch of mathematics whose origins are eerily similar to those of moonshine - that is, elliptic cohomology - will turn out to be very relevant too' - from the Preface.This volume contains the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in June 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as 'Moonshine', this work contains something for many mathematicians and physicists. It features: results concerning the monster simple group and other simple groups; connections with elliptic cohomology; connections with 2-dimensional conformal field theory; the role of operads; and, connections with modular functions. ""Much of Moonshine, the Monster, and Related Topics"" features new results not available anywhere else.
Higher genus moonshine by P. Bantay Superstring twisted conformal field
theory by L. Dolan Some twisted sectors for the moonshine module by C. Dong,
H. Li, and G. Mason Spinor construction of the $c=1/2$ minimal model by A. J.
Feingold, J. X. Ries, and M. D. Weiner The McKay-Thompson series associated
with the irreducible characters of the monster by K. Harada and M. L. Lang
Some quilts for the Mathieu groups by T. Hsu A nonmeromorphic extension of
the moonshine module vertex operator algebra by Y.-Z. Huang On the
Buekenhout-Fischer geometry of the monster by A. A. Ivanov Operads of moduli
spaces and algebraic structures in conformal field theory by T. Kimura On
Hopf algebras and the elimination theorem for free Lie algebras by J.
Lepowsky and R. L. Wilson Local systems of twisted vertex operators, vertex
operator superalgebras and twisted modules by H.-S. Li Modular forms and
topology by K. Liu On modular invariance of completely replicable functions
by Y. Martin On embedding of integrable highest weight modules of affine Lie
algebras by K. C. Misra The monster algebra: Some new formulae by S. Norton
Modular moonshine? by A. E. Ryba Replicant powers for higher genera by G. W.
Smith Generalised moonshine and Abelian orbifold constructions by M. P. Tuite.