Tools

LEADER 04168cam a2200589 i 4500

001 ssj0002689472;

003 WaSeSS;

005 20250612090412.0;

006 m d ;

007 cr n ;

008 220722s2022 riu sb 000 0 eng d;

010 a| 2022027946;

020 a| 9781470471576q| paperback;

020 z| 9781470471705q| pdf;

035 a| (WaSeSS)ssj0002689472;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA164b| .D32 2022;

082 00 a| 511/.62| 23/eng20220917;

084 a| 05E052| msc;

100 1 a| D'Adderio, Michele0| http://id.loc.gov/authorities/names/no20220935871| http://id.loc.gov/rwo/agents/no2022093587.?| UNAUTHORIZED;

245 10 a| Decorated Dyck paths, polyominoes, and the delta conjectureh| [electronic resource] /c| Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd.;

260 a| Providence, RI :b| American Mathematical Society,c| [2022];

300 a| xi, 119 pagesb| illustrationsc| 26 cm;

334 a| single unitb| mono0| http://id.loc.gov/vocabulary/issuance/mono;

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 1370;

500 a| "July 2022, volume 278, number 1370 (fifth of 6 numbers).";

504 a| Includes bibliographical references.;

505 0 a| Background and definitions -- Conjectures -- Our results -- Symmetric functions -- Combinatorics of decorated Dyck paths -- Combinatorics of polyominoes -- Putting the pieces together -- Square paths.;

506 a| Available only to authorized users.;

520 a| "We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund ("A proof of the Schroder conjecture", 2004) and Aval et al. ("Statistics on parallelogram polyominoes and a analogue of the Narayana numbers", 2014). This settles in particular the cases and of the Delta conjecture of Haglund, Remmel and Wilson ("The delta conjecture", 2018). Along the way, we introduce some new statistics, formulate some new conjectures, prove some new identities of symmetric functions, and answer a few open problems in the literature (e.g., from Aval, Bergeron and Garsia [2015], Haglund, Remmel and Wilson [2018], and Zabrocki [2019]). The main technical tool is a new identity in the theory of Macdonald polynomials that extends a theorem of Haglund in "A proof of the Schroder conjecture" (2004)"-- Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Combinatorial analysis0| http://id.loc.gov/authorities/subjects/sh85028802=| ^A31443;

650 0 a| Symmetric functions0| http://id.loc.gov/authorities/subjects/sh85131434=| ^A119784;

650 7 a| Combinatorics -- Algebraic combinatorics -- Symmetric functions and generalizations2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Iraci, Alessandro1| http://id.loc.gov/rwo/agents/no2022093588.?| UNAUTHORIZED;

700 1 a| Wyngaerd, Anna Vanden1| http://id.loc.gov/rwo/agents/no2022093589.?| UNAUTHORIZED;

758 1| http://id.loc.gov/resources/instances/22732221;

758 4| http://id.loc.gov/ontologies/bibframe/instanceOf1| http://id.loc.gov/resources/works/22732221;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=29379001;

884 a| DLC bibframe2marc v2.10-devg| 20250522q| DLCu| https://github.com/lcnetdev/bibframe2marc/releases/tag/v2.10-dev;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

949 a| CLICK ON WEB ADDRESSw| ASISh| JMUSIC60;

596 a| 1 3 4;

998 a| 6512515;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512515-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512515-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/14/2025x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512515-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

Decorated Dyck paths, polyominoes, and the delta conjecture / Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd.

Author/creator	D'Adderio, Michele
Other author	Iraci, Alessandro
Other author	Wyngaerd, Anna Vanden
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, [2022]
Description	xi, 119 pages illustrations 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Combinatorial analysis Symmetric functions

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1370
Contents	Background and definitions -- Conjectures -- Our results -- Symmetric functions -- Combinatorics of decorated Dyck paths -- Combinatorics of polyominoes -- Putting the pieces together -- Square paths.
Abstract	"We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund ("A proof of the Schroder conjecture", 2004) and Aval et al. ("Statistics on parallelogram polyominoes and a analogue of the Narayana numbers", 2014). This settles in particular the cases and of the Delta conjecture of Haglund, Remmel and Wilson ("The delta conjecture", 2018). Along the way, we introduce some new statistics, formulate some new conjectures, prove some new identities of symmetric functions, and answer a few open problems in the literature (e.g., from Aval, Bergeron and Garsia [2015], Haglund, Remmel and Wilson [2018], and Zabrocki [2019]). The main technical tool is a new identity in the theory of Macdonald polynomials that extends a theorem of Haglund in "A proof of the Schroder conjecture" (2004)"-- Provided by publisher.
General note	"July 2022, volume 278, number 1370 (fifth of 6 numbers)."
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	2022027946
ISBN	9781470471576 paperback
ISBN	pdf

Availability

Library	Location	Call Number	Status	Item Actions
	Electronic Resources	Access Content Online	✔ Available

Decorated Dyck paths, polyominoes, and the delta conjecture / Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd.

Click here for more information about this title

Availability