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Results tagged with rt.representation-theory
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user 12482
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
10
votes
Accepted
Norm continuous infinite dimenisonal representation of a Lie group
Your question also makes sense for a Banach space and that is where the following results also apply. The Hilbert space case is then only a particular case where you can get some more information abou …
- 8,098
5
votes
Relation of the first Hochschild cohomology and the outer automorphism group
Another easy counter-example: take $X = \mathbb{N}$ as discrete topological space and $R = C(X, \mathbb{R})$ as continuous functions on it. These are just all functions. Equivalently, you can view the …
- 8,098
4
votes
Accepted
Prequantization and Hilbert space
OK, so here are just a few thought on this large topic of quantization. First of all, the question of irreducibility can equally well be asked for deformation quantization (as mentioned by other answe …
- 8,098
3
votes
Equivalence of star products on two differents Poisson algebras?
to 1) A $\mathbb{k}[[\hbar]]$-linear map between $A[[\hbar]]$ and $B[[\hbar]]$ is necessarily of the form $T = T_0 + \hbar T_1 + \cdots$ with $T_r\colon A \longrightarrow B$ being $\mathbb{k}$-linear …
- 8,098