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010 a| 2023014545;

020 a| 9781470447120q| (paperback);

020 z| 9781470474430q| (pdf);

035 a| (WaSeSS)ssj0002864136;

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084 a| 46L37a| 18D05a| 05C30a| 11R182| msc;

100 1 a| Afzaly, Narjess.?| UNAUTHORIZED;

245 14 a| The classification of subfactors with index at most 5 1/4h| [electronic resource] /c| Narjess Afzaly, Scott Morrison, David Penneys.;

260 a| Providence, RI :b| AMS, American Mathematical Society,c| 2023.;

300 a| v, 81 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoir of the American Mathematical Society,x| 0065-9266 ;v| volume 285, number 1405;

500 a| "April 2023, Volume 284, Number 1405 (first of 6 numbers).";

504 a| Includes bibliographical references (pages 77-81).;

505 0 a| Background -- The main theorem -- Better combinatorics for graph enumeration -- Weeds with branch factor r = 1 -- Ruling out weeds using branch factor inequalities -- Ruling out 4-spokes -- Cyclotomicity of vines.;

506 a| Available only to authorized users.;

520 a| "Subfactor standard invariants encode quantum symmetries. The small index subfactor classification program has been a rich source of interesting quantum symmetries. We give the complete classification of subfactor standard invariants to index 5 1/4 , which includes 3 [plus] [sqaure root]5, the first interesting composite index"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Factors (Algebra)=| ^A237376;

650 0 a| Algebraic varietiesx| Classification theory.=| ^A275531;

650 0 a| Categories (Mathematics)=| ^A23638;

650 0 a| Combinatorial enumeration problems.=| ^A69289;

650 0 a| Cyclotomy.=| ^A105406;

650 0 a| Index theory (Mathematics)=| ^A316098;

650 7 a| Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Subfactors and their classification.2| msc;

650 7 a| Category theory; homological algebra -- Categories with structure -- Double categories, $2$-categories, bicategories and generalizations.2| msc;

650 7 a| Combinatorics -- Graph theory -- Enumeration in graph theory.2| msc;

650 7 a| Number theory -- Algebraic number theory: global fields -- Cyclotomic extensions.2| msc;

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

700 1 a| Morrison, Scottq| (Scott Edward)?| UNAUTHORIZED;

700 1 a| Penneys, David.?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=30539166;

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The classification of subfactors with index at most 5 1/4 / Narjess Afzaly, Scott Morrison, David Penneys.

Author/creator	Afzaly, Narjess
Other author	Morrison, Scott (Scott Edward)
Other author	Penneys, David.
Format	Electronic
Publication Info	Providence, RI : AMS, American Mathematical Society, 2023.
Description	v, 81 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Factors (Algebra) Algebraic varieties--Classification theory. Categories (Mathematics) Combinatorial enumeration problems. Cyclotomy. Index theory (Mathematics)

Series	Memoir of the American Mathematical Society, 0065-9266 ; volume 285, number 1405
Contents	Background -- The main theorem -- Better combinatorics for graph enumeration -- Weeds with branch factor r = 1 -- Ruling out weeds using branch factor inequalities -- Ruling out 4-spokes -- Cyclotomicity of vines.
Abstract	"Subfactor standard invariants encode quantum symmetries. The small index subfactor classification program has been a rich source of interesting quantum symmetries. We give the complete classification of subfactor standard invariants to index 5 1/4 , which includes 3 [plus] [sqaure root]5, the first interesting composite index"-- Provided by publisher.
General note	"April 2023, Volume 284, Number 1405 (first of 6 numbers)."
Bibliography note	Includes bibliographical references (pages 77-81).
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2023014545
ISBN	9781470447120 (paperback)
ISBN	(pdf)

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