arXiv Analytics

Sign in

arXiv:1710.01071 [math.RT]AbstractReferencesReviewsResources

(2+)-replication and the Baby Monster

Chris Cummins, Rodrigo Matias

Published 2017-10-03Version 1

The definitions of replicable and completely replicable functions are intimately related to the Hecke Operators for the modular group. We define the notions of "(2+)-replicable" and "completely (2+)-replicable" functions by considering the Hecke Operators for \Gamma_0(2)+. We prove that the McKay-Thompson series for 2.B, as computed by H\"ohn, are completely (2+)-replicable.

Comments: 42 pages
Categories: math.RT
Related articles: Most relevant | Search more
arXiv:1705.05361 [math.RT] (Published 2017-05-15)
The Monster, the Baby Monster and Traces of Singular Moduli
arXiv:math/0601252 [math.RT] (Published 2006-01-11)
Discrete series characters and the Lefschetz formula for Hecke operators
arXiv:1812.08160 [math.RT] (Published 2018-12-19)
Is there an analytic theory of automorphic functions for complex algebraic curves?

Links

Toolbox