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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
0
votes
0
answers
185
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Characterization of Complex Group Algebras
Is there a way to characterize which complex algebras arise as the group algebra of some locally compact group? To make this more concrete, say $A$ is a sub-algebra of $\text{Mat}(n,\mathbb{C})$, $n\i …
8
votes
1
answer
560
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Generalizing Representation Theory of Finite Groups to Module Theory
My question is essentially this: which parts of the representation theory of finite groups are really just applications of module theory, and which are not? Here is an example of each case. Induction …
2
votes
1
answer
407
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Hecke Relations on Fourier Coeficients for GL(n), n>2
Let $\pi$ be a cuspidal automorphic representation of $GL_2(\mathbb{A}_\mathbb{Q})$ with trivial central character.
Then we can attach an L-function to $\pi$ which can be written as a Dirichlet series …