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Questions about modular forms and related areas
10
votes
Etymology of cuspidal representations
To reinforce what's already been said and add some references, I'd emphasize first that Harish-Chandra's "philosophy of cusp forms" was indeed a driving force in the study of representations over both …
7
votes
Accepted
Congruence Subgroups as Open Subgroups of the Modular Group Under the Right Topology
To expand Henry Wilton's concise answer, the Congruence Subgroup Problem has a distinguished history including important work by Serre and a number of others (exploiting effectively the congruence top …
3
votes
There is no lattice in PSL(2,R) which contains PSL(2,Z) properly?
The question in the header is interesting, but Scott's answer is directed at a somewhat different arithmetic question (also interesting). For your groups $G$ and $\Gamma_1$, or the similarly behaved …
2
votes
Modular Forms and Root Systems
As others have pointed out, the word "lattice" in this context needs to be used with care. Leaving aside the use of this word to describe certain partially ordered sets, lattices in Euclidean space …