A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture

Rinat Kedem

doi:10.1142/9789814324373_0010

A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture

Rinat Kedem

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper provides a brief review of the relations between the Feigin-Loktev conjecture on the dimension of graded tensor products of 𝔤[t]-modules, the Kirillov-Reshetikhin conjecture, the combinatorial "M = N" conjecture, their proofs for all simple Lie algebras, and a pentagon of identities which results from the proof.

Original language	English (US)
Title of host publication	New trends in quantum integrable systems
Editors	Boris Feigin, Michio Jimbo, Masato Okado
Publisher	World Scientific
Pages	173-193
Number of pages	21
DOIs	https://doi.org/10.1142/9789814324373_0010
State	Published - Oct 2010
Event	Infinite Analysis 09 - Kyoto, Japan Duration: Jul 27 2009 → Jul 31 2009

Conference

Conference	Infinite Analysis 09
Country/Territory	Japan
City	Kyoto
Period	7/27/09 → 7/31/09

Keywords

Fusion products
KR modules

Online availability

10.1142/9789814324373_0010

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title = "A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture",

abstract = "This paper provides a brief review of the relations between the Feigin-Loktev conjecture on the dimension of graded tensor products of 픤[t]-modules, the Kirillov-Reshetikhin conjecture, the combinatorial {"}M = N{"} conjecture, their proofs for all simple Lie algebras, and a pentagon of identities which results from the proof.",

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AB - This paper provides a brief review of the relations between the Feigin-Loktev conjecture on the dimension of graded tensor products of 픤[t]-modules, the Kirillov-Reshetikhin conjecture, the combinatorial "M = N" conjecture, their proofs for all simple Lie algebras, and a pentagon of identities which results from the proof.

KW - Fusion products

KW - KR modules

U2 - 10.1142/9789814324373_0010

DO - 10.1142/9789814324373_0010

M3 - Conference contribution

SP - 173

EP - 193

BT - New trends in quantum integrable systems

A2 - Feigin, Boris

A2 - Jimbo, Michio

A2 - Okado, Masato

PB - World Scientific

T2 - Infinite Analysis 09

Y2 - 27 July 2009 through 31 July 2009

ER -

A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture

Abstract

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Keywords

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