On the Classification of Twisting Maps Between Kn and Km

P Jara, J López Peña, G Navarro, D Ştefan - Algebras and representation …, 2011 - Springer
P Jara, J López Peña, G Navarro, D Ştefan
Algebras and representation theory, 2011Springer
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 T_A^n:=T(K^n,A). We describe all these representations in the case
A= K m.
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 . We describe all these representations in the case A = K m .
Springer
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