arXiv Open Access 2020

Infinitesimal semi-invariant pictures and co-amalgamation

Eric J. Hanson Kiyoshi Igusa Moses Kim Gordana Todorov

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.RT math.CO math.RA

Penulis (4)

Eric J. Hanson

Kiyoshi Igusa

Moses Kim

Gordana Todorov

Format Sitasi

APA MLA BibTeX

Hanson, E.J., Igusa, K., Kim, M., Todorov, G. (2020). Infinitesimal semi-invariant pictures and co-amalgamation. https://arxiv.org/abs/2012.06572

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓