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Infinitesimal Semi-invariant Pictures and Co-amalgamation by Hanson, Eric J.; Igusa, Kiyoshi; Kim, Moses; Todorov, Gordana is a scholarly article available to read on EtoBox.

What is Infinitesimal Semi-invariant Pictures and Co-amalgamation about?

The purpose of this paper is to study the local structure of the semi-invariant picture of a tame hereditary algebra near the null root. Using a construction that we call co-amalgamation, we show that this local structure is completely described by the semi-invariant pictures of a collection of self-injective Nakayama algebras. We then describe the cones of this local structure using cluster-like structures that we call support regular clusters. Finally, we show that the local structure is (piecewise linearly) invariant under cluster tilting.

Author

Hanson, Eric J.; Igusa, Kiyoshi; Kim, Moses; Todorov, Gordana

Published

2020

Language

EN