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From: metroplex021 on 15 Jun 2010 15:15
Hi folks - I have a couple of basic questions about fundamental
representations.

First of all, does every group have a set of fundamental
representations, or just the semi-simple groups?

Secondly, I know that in the case of the (compact?) semi-simple
groups, any other
representation of the group can be constructed by taking tensor
products of its L fundamental representations, where L is the group's
rank. Is this the case for all groups, or just the semi-simple ones?

Any help would be really appreciated. Thanks!
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