Tilting quivers for BB-tilted algebras
Hongwei Peng
TL;DR
This paper explores how to construct tilting modules for BB-tilted algebras from hereditary algebras and their tilted algebras, providing a method to derive tilting quivers of BB-tilted algebras from those of hereditary algebras.
Contribution
It introduces a new construction method for tilting modules of BB-tilted algebras based on tilting modules of hereditary algebras and their tilted algebras.
Findings
Constructed tilting modules for BB-tilted algebras from hereditary and tilted algebras.
Provided a procedure to derive tilting quivers of BB-tilted algebras from hereditary algebra quivers.
Established a link between tilting modules of hereditary algebras and BB-tilted algebras.
Abstract
Let be a hereditary algebra, be a tilted algebra. We will construct tilting -modules from tilting -modules and use this result to show how tilting quivers of BB-tilted algebras can be obtained from those of
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum many-body systems · Quantum Information and Cryptography