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Results tagged with rt.representation-theory
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user 39717
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
1
answer
498
views
Is there a link between $H_2(G,\mathbb{Z})$, the Schur Multiplier of a group, and the "other...
The name for the the following 2 mathematical objects:
$$H_2(G,\mathbb{Z})$$ and
$$\{K:G\times G\longrightarrow\mathbb{C}\ |\ \forall T\in B(l^2(G))\text{we have that}~S:G\times G\longrightarrow\ma …
- 647
12
votes
3
answers
1k
views
Dimensions and number of complex irreducible representations for SL3(Z/pZ)
This is my first post here :)
I have the following two related questions. While looking in Conway's ATLAS (the 1985 one) for $SL_3(Z/pZ)$, where he does the cases $p=2,3,5,7$, I saw that the dimensio …
- 647
6
votes
0
answers
497
views
Faithful and weakly-mixing representations of Property (T) groups in relation to left regula...
Is it known that: Any countable Property (T) group (or more generally, a non-amenable group) has a faithful, weakly-mixing representation which is NOT weakly included in its left regular representatio …
- 647
5
votes
0
answers
317
views
Unitary representations of Tarski Monsters and other beasts
Did people study the unitary representations of Tarsky Monsters, for example the ones constructed by Ol'shanskii? Are there any exotic representations, ie. except the ones related to the left regular, …
- 647