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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
0
answers
85
views
Representing Outer Automorphisms by Outer Matrix Conjugation for MCG?
Let $S$ be closed hyperbolic surface. The Dehn-Neilson theorem $\Gamma \approx Out(\pi_1)$ identifies the mapping class group of $S$ with the outer automorphism group of the surface group $\pi_1=\pi_1 …
5
votes
Is there a "right" proof of Riemann's Theta Relation?
I think there is indeed a "right" proof of Riemann's quartic theta relation. Namely, as a corollary of Mumford's first and second "fundamental identities" (described in 6.4, 6.5 of Tata III). Mumford …
1
vote
0
answers
507
views
List of Automorphism groups of Abelian Varieties for Dummies
(%Edited after abx comment%)
I seek explicit linear integral representations $\rho: Aut(X,\omega) \to Sp_{2g}(\mathbb{Z})$, when $(X,\omega)$ is complex $g$-dimensional PPAV. I prefer explicit matri …