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Questions about modular forms and related areas

3 votes
0 answers
361 views

Modular forms of half-integral weight: why do we need the cover of SL?

I wanted to read a bit about modular forms of half integral weight. There is the notion of a 'factor of automorphy' (as for example, R.Rankin uses it in the book 'Modular Forms and Functions'). Now I …
Fabian Werner's user avatar
2 votes
1 answer
211 views

Modular Forms w.r.t. different representations linearly independent?

Let $V$ be a finite dimensional vector space over $\mathbb{C}$. Let $G = \text{SL}_2(\mathbb{Z})$, say, and $\rho : G \to \text{GL}_\mathbb{C}(V)$ a representation. Let us take a fixed basis $b_1, ... …
Fabian Werner's user avatar