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Results tagged with noncommutative-algebra
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user 21483
Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
2
votes
Motivation for the Preprojective Algebra
The following expands a little on Hugh's third point.
If $G$ is a finite subgroup of $\mathrm{SL}_2(\mathbb{K})$, where $\mathbb{K}$ is an algebraically closed field of characteristic $0$, then $G$ a …
- 1,690
6
votes
Accepted
number of indecomposable summands of an extension of two modules
The answers to both questions are no in general, with a counter-example being given by the path algebra of a quiver of type $\mathsf{D}_4$—the category of left modules over this algebra is a Hom-finit …
- 1,690
11
votes
Accepted
Applications of cluster algebras
One reason is that cluster algebras have motivated many recent developments in the representation theory of associative algebras. There is a lot one can say about this, so I will try to just give an o …
- 1,690