Tree representations of the quiver $\widetilde{\mathbb{D}}_{m}$

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Combinatorics of Quiver Representations

Contents 1. Introduction 1 1.1. Main results 1 1.2. Horn's conjecture and related problems 2 1.3. The quiver method 4 1.4. Organization 5 2. Preliminaries 6 2.1. Basic notions for quivers 6 2.2. Semi-invariants for quiver representations 7 2.3. Representations in general position 8 2.4. The canonical decomposition 9 2.5. The combinatorics of dimension vectors 11 2.6. Perpendicular categories 12...

متن کامل

Flat Covers of Representations of the Quiver

Rooted quivers are quivers that do not contain A∞ ≡ ··· → • → • as a subquiver. The existence of flat covers and cotorsion envelopes for representations of these quivers have been studied by Enochs et al. The main goal of this paper is to prove that flat covers and cotorsion envelopes exist for representations of A∞. We first characterize finitely generated projective representations of A∞. We ...

متن کامل

The monoid of families of quiver representations

The aim of this paper is to develop an algebraic tool, namely the monoid structure on families of quiver representations as stated in the title, which is directly related both to quantized Kac-Moody algebras, and to geometric properties of varieties of representations. Although this new structure is far from being understood in detail, it it easily accessible to explicit calculations, and it pr...

متن کامل

Cluster Algebras and Quiver Representations

These notes contain an extended abstract and references for a minicourse given at the Summer School ‘Microlocal and Geometric Methods in Representation Theory’ (Schloss Reisensburg, July 2006) of the International Research Training Group Metz–Paderborn.

متن کامل

Cluster Mutation via Quiver Representations

Matrix mutation appears in the definition of cluster algebras of Fomin and Zelevinsky. We give a representation theoretic interpretation of matrix mutation, using tilting theory in cluster categories of hereditary algebras. Using this, we obtain a representation theoretic interpretation of cluster mutation in case of acyclic cluster algebras.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 2021

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm8270-11-2020