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Groups and Symmetries: From Neolithic Scots to John McKay
About this Title
John Harnad, Concordia University, Montreal, QC, Canada and Pavel Winternitz, Université de Montréal, Montreal, QC, Canada, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2009; Volume 47
ISBNs: 978-0-8218-4481-6 (print); 978-1-4704-1775-8 (online)
DOI: https://doi.org/10.1090/crmp/047
MathSciNet review: MR2524088
MSC: Primary 00B25
ReadershipTable of Contents
Front/Back Matter
Chapters
- Introduction and background
- Symmetric sums associated to the factorization of Grunsky coefficients
- A monstrous proposal
- Quivers and difference Painlevé equations
- Families of Ramanujan graphs and quaternion algebras
- Normal forms, K3 surface moduli, and modular parametrizations
- Spontaneous generation of Hilbert modular functions
- On a class of congruence subgroups
- McKay’s correspondence for cocompact discrete subgroups of SU(1, 1)
- Arithmetic groups and the affine $\mathrm {E}_8$ Dynkin diagram
- The Galois action on character tables
- Hecke operators in equivariant elliptic cohomology and generalized moonshine
- Sculptural presentation of the icosahedral rotation group
- Spherical harmonics and the icosahedron
- Alternating group and multivariate exponential functions
- Moonshine elements in elliptic cohomology
- The generalized Artin conjecture and arithmetic orbifolds
- McKay correspondence
- On ground fields of arithmetic hyperbolic reflection groups
- Moonshine-type functions and the CRM correspondence
- Monodromy evolving deformations and Halphen’s equation
- Integral solutions of Apéry-like recurrence equations