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Representations of quivers with automorphisms over finite fields
quiver with automorphism hereditary algebra representation
2011/9/28
Let ${mathbb F}_q$ be the finite field of $q$ elements and $k$ be its algebraic closure. Let $Q$ be a quiver with automorphism $sigma$. In this survey we focus on the study of modules over the ${mathb...
Categorification of the Fibonacci numbers using representations of quivers
Categorification of the Fibonacci numbers representations of quivers Representation Theory
2011/8/31
Abstract: In a previous paper we have presented a partition formula for the even-index Fibonacci numbers using the preprojective representations of the 3-Kronecker quiver and its universal cover, the ...
Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
We investigate the connection between representations of posets and those of the corresponding (bound) quivers. As far as quivers are concerned, we concentrate on unitarizable representations which ar...