Mathematics – Rings and Algebras
Scientific paper
2008-05-19
Mathematics
Rings and Algebras
21 pages
Scientific paper
We define the notion of admissible pair for an algebra $A$, consisting on a couple $(\Gamma,R)$, where $\Gamma$ is a quiver and $R$ a unital, splitted and factorizable representation of $\Gamma$, and prove that the set of admissible pairs for $A$ is in one to one correspondence with the points of the variety of twisting maps $\mathcal{T}_A^n:=\mathcal{T}(K^n,A)$. We describe all these representations in the case $A=K^m$.
Jara Pascual
Navarro Gabriel
Peña Javier López
Ştefan Dragoş
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