Non-kissing complexes and tau-tilting for gentle algebras

We interpret the support

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Bibliographische Detailangaben
Hauptverfasser:	Palu, Yann, Pilaud, Vincent, Plamondon, Pierre-Guy
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2022
Ausgabe:	1
Schriftenreihe:	Memoirs of the American Mathematical Society
Schlagworte:	Associative rings and algebras > Representation theory of rings and algebras > Representations of Artinian rings. msc Associative rings and algebras > Representation theory of rings and algebras > Representations of quivers and partially ordered sets. msc Combinatorial analysis Combinatorics > Algebraic combinatorics > Combinatorial aspects of representation theory. msc Combinatorics > Algebraic combinatorics > Combinatorial aspects of simplicial complexes. msc Congruence lattices Convex and discrete geometry > Polytopes and polyhedra > $n$-dimensional polytopes. msc Convex polytopes Order, lattices, ordered algebraic structures > Lattices > Ideals, congruence relations. msc Partially ordered sets Representations of algebras Representations of gentle algebras associahedron support <inline-formula content-type="math/mathml"> τ \tau </inline-formula>-tilting theory Tamari lattice
ISBN:	9781470450045, 1470450046
ISSN:	0065-9266, 1947-6221
Online-Zugang:	Volltext
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Inhaltsangabe:

Acknowledgements -- Introduction -- String modules -- The non-kissing complex -- The non-kissing lattice -- The non-kissing associahedron
Cover -- Title page -- Acknowledgements -- Introduction -- Chapter 1. String modules -- 1.1. Recollections on string algebras -- 1.2. ̱-vectors and -compatibility for string modules -- Chapter 2. The non-kissing complex -- 2.1. Blossoming quivers -- 2.2. The non-kissing complex -- 2.3. Non-kissing complexes versus support -tilting complexes -- Chapter 3. The non-kissing lattice -- 3.1. Some algebraic notions on lattices -- 3.2. Biclosed sets of strings -- 3.3. Lattice congruence on biclosed sets -- 3.4. Biclosed sets of strings versus non-kissing facets -- 3.5. Canonical join-representations in \NKL and the non-friendly complex -- Chapter 4. The non-kissing associahedron -- 4.1. Recollections on polyhedral geometry -- 4.2. Non-kissing geometry -- Bibliography -- Back Cover