Szántó, Csaba
(2014)
*On some Ringel-Hall numbers in tame cases.*
Acta Universitatis Sapientiae Mathematica, 6 (1).
pp. 61-72.
ISSN 1844-6094

Text
OnRHNumbersActa.pdf Restricted to Registered users only Download (115kB) | Request a copy |

## Abstract

Let $k$ be a finite field and consider the finite dimensional path algebra $kQ$ where $Q$ is a quiver of tame type i.e. of type $\tilde A_n,\tilde D_n,\tilde E_6, \tilde E_7,\tilde E_8$. Let $\mathcal{H}(kQ)$ be the corresponding Ringel-Hall algebra. We are going to determine the Ringel-Hall numbers of the form $F^{P'}_{XP}$ with $P,P'$ preprojective indecomposables of defect -1 and $F^{I'}_{IX}$ with $I,I'$ preinjective indecompo\-sables of defect 1. It turns out that these numbers are either 1 or 0.

Item Type: | Article |
---|---|

Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

Depositing User: | Csaba Szántó |

Date Deposited: | 24 Sep 2014 04:41 |

Last Modified: | 24 Sep 2014 04:42 |

URI: | http://real.mtak.hu/id/eprint/16299 |

### Actions (login required)

Edit Item |