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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

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Symplectic representation of modular group

The modular group $\Gamma_{g}$ of isotopy classes of diffeomorphisms of a genus $g$ surface $S$ acts on $H^1(S,\mathbb{Q})$ (or $H^1(S,\mathbb{Z})$) respecting the intersection pairing. This gives a h …
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