Sobre el número de módulos inclinantes en carcajes del tipo A_n

Abstract

Tilting theory is now considered an essential tool in the study of many areas of mathematics inclu- ding: representation theory, algebraic group theory, commutative and non-commutative algebraic geometry. In particular, in representation theory the inclining theory originated with the study of reflection functors. In fact, one of the most important concepts in this case was the inclination modulus introduced by Brenner and Butler and axiomatized by Happel and Ringel in [12]. In this work we will give the definition of inclining module, some of its most important properties and in particular a bijection between the inclining modules in quivers of the type A n and the binary planar trees with 2n + 1 will be presented vertices via the Tamari lattice [1, 8, 15].