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arXiv · 0805.2874

On the classification of twisting maps between $K^n$ and $K^m$

Pascual Jara·Javier López Peña·Gabriel Navarro·Dragoş Ştefan
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Abstract

We define the notion of admissible pair for an algebra $A$, consisting on a couple $(Γ,R)$, where $Γ$ is a quiver and $R$ a unital, splitted and factorizable representation of $Γ$, 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 $A=K^m$.

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Pascual Jara, Javier López Peña, Gabriel Navarro, Dragoş Ştefan. 2009-09-24. On the classification of twisting maps between $K^n$ and $K^m$. https://arxiv.org/abs/0805.2874

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