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020 a| 9781470463144q| paperback;

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100 1 a| Stump, Christian0| http://id.loc.gov/authorities/names/no20250456231| http://id.loc.gov/rwo/agents/no2025045623.;

245 10 a| Catalandh| [electronic resource] :b| why the fuß? /c| Christian Stump, Hugh Thomas, Nathan Williams.;

260 a| Providence, RI, USA :b| American Mathematical Society,c| [2025];

300 a| vi, 143 pages ;c| 26 cm;

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353 a| bibliographyb| bibliography0| http://id.loc.gov/vocabulary/msupplcont/bibliography;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1535;

500 a| "January 2025, Volume 305, Number 1535 (first of 7 numbers)"--Title page.;

504 a| Includes bibliographical references.;

506 a| Available only to authorized users.;

520 a| "The three main objects in noncrossing Catalan combinatorics associated to a finite Coxeter system are noncrossing partitions, clusters, and sortable elements. The first two of these have known Fuss-Catalan generalizations. We provide new viewpoints for both and introduce the missing generalization of sortable elements by lifting the theory from the Coxeter system to the associated positive Artin monoid. We show how this new perspective ties together all three generalizations, providing a uniform framework for noncrossing Fuss-Catalan combinatorics. Having developed the combinatorial theory, we provide an interpretation of our generalizations in the language of the representation theory of hereditary Artin algebras"-- Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Catalan numbers (Mathematics)0| http://id.loc.gov/authorities/subjects/sh2008005833;

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650 7 a| Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings2| msc;

650 7 a| Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory2| msc;

655 0 a| Electronic books.;

700 1 a| Thomas, Hughc| (Mathematician0| http://id.loc.gov/authorities/names/no20250456271| http://id.loc.gov/rwo/agents/no2025045627.;

700 1 a| Williams, Nathanc| (Mathematician0| http://id.loc.gov/authorities/names/no20250456291| http://id.loc.gov/rwo/agents/no2025045629.;

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Cataland why the fuß? / Christian Stump, Hugh Thomas, Nathan Williams.

Author/creator	Stump, Christian
Other author	Thomas, Hugh (Mathematician
Other author	Williams, Nathan (Mathematician
Format	Electronic
Publication Info	Providence, RI, USA : American Mathematical Society, [2025]
Description	vi, 143 pages ; 26 cm
Supplemental Content	Full text available from eBooks on EBSCOhost
Subjects	Catalan numbers (Mathematics) Infinite groups Finite groups Coxeter groups

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1535
Abstract	"The three main objects in noncrossing Catalan combinatorics associated to a finite Coxeter system are noncrossing partitions, clusters, and sortable elements. The first two of these have known Fuss-Catalan generalizations. We provide new viewpoints for both and introduce the missing generalization of sortable elements by lifting the theory from the Coxeter system to the associated positive Artin monoid. We show how this new perspective ties together all three generalizations, providing a uniform framework for noncrossing Fuss-Catalan combinatorics. Having developed the combinatorial theory, we provide an interpretation of our generalizations in the language of the representation theory of hereditary Artin algebras"-- Provided by publisher.
General note	"January 2025, Volume 305, Number 1535 (first of 7 numbers)"--Title page.
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2025011393
ISBN	9781470463144 paperback
ISBN	pdf

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