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Irreducible vector-valued modular forms of dimension less than six

Irreducible vector-valued modular forms of dimension less than six

An algebraic classification is given for spaces of holomorphic vector-valued modular forms of arbitrary real weight and multiplier system, associated to irreducible, $T$-unitarizable representations of the full modular group, of dimension less than six. For representations of dimension less than four, it is shown that the associated space of vector-valued …