Non-Kissing Complexes and Tau-Tilting for Gentle Algebras

• Autore: Palu Yann
• Pubblicazione: Providence : , : American Mathematical Society, , 2022; ©2021
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (110 pages)
• Disciplina: 512/.46; 512.46
• Soggetto topico: Combinatorial analysis; Representations of algebras; Partially ordered sets; Congruence lattices; Convex polytopes; Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings; Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets; Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory; Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of simplicial complexes; Order, lattices, ordered algebraic structures -- Lattices -- Ideals, congruence relations; Convex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes
• Classificazione: 16G1016G2005E1005E4506B1052B11
• Altri autori: PilaudVincent PlamondonPierre-Guy
• Note generali: "November 2021, volume 274, number 1343."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: String modules -- The non-kissing complex -- The non-kissing lattice -- The non-kissing associahedron.
• Sommario/riassunto: "We interpret the support -tilting complex of any gentle bound quiver as the non-kissing complex of walks on its blossoming quiver. Particularly relevant examples were previously studied for quivers defined by a subset of the grid or by a dissection of a polygon. We then focus on the case when the non-kissing complex is finite. We show that the graph of increasing flips on its facets is the Hasse diagram of a congruence-uniform lattice. Finally, we study its g-vector fan and prove that it is the normal fan of a non-kissing associahedron"--
• Titolo autorizzato: Non-Kissing Complexes and Tau-Tilting for Gentle Algebras
• ISBN: 9781470469122; 147046912X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910970223903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society