Branching rules for quantum toroidal gln

B. Feigin; M. Jimbo; T. Miwa; E. Mukhin

doi:10.1016/j.aim.2016.03.019

Branching rules for quantum toroidal gl_n

B. Feigin, M. Jimbo, T. Miwa, E. Mukhin

Research output: Contribution to journal › Article › peer-review

Abstract

We construct an analog of the subalgebra Ugl(n)⊗Ugl(m)⊂Ugl(m+n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.

Original language	English
Pages (from-to)	229-274
Number of pages	46
Journal	Advances in Mathematics
Volume	300
DOIs	https://doi.org/10.1016/j.aim.2016.03.019
State	Published - 10 Sep 2016
Externally published	Yes

Keywords

AGT conjecture
Branching rules
Coset construction
Quantum toroidal algebras

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/j.aim.2016.03.019

Cite this

@article{8b50d3d5351b4bf295f4b9a3c0287196,

title = "Branching rules for quantum toroidal gln",

abstract = "We construct an analog of the subalgebra Ugl(n)⊗Ugl(m)⊂Ugl(m+n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.",

keywords = "AGT conjecture, Branching rules, Coset construction, Quantum toroidal algebras",

author = "B. Feigin and M. Jimbo and T. Miwa and E. Mukhin",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = sep,

day = "10",

doi = "10.1016/j.aim.2016.03.019",

language = "الإنجليزيّة",

volume = "300",

pages = "229--274",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Branching rules for quantum toroidal gln

AU - Feigin, B.

AU - Jimbo, M.

AU - Miwa, T.

AU - Mukhin, E.

PY - 2016/9/10

Y1 - 2016/9/10

N2 - We construct an analog of the subalgebra Ugl(n)⊗Ugl(m)⊂Ugl(m+n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.

AB - We construct an analog of the subalgebra Ugl(n)⊗Ugl(m)⊂Ugl(m+n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.

KW - AGT conjecture

KW - Branching rules

KW - Coset construction

KW - Quantum toroidal algebras

UR - http://www.scopus.com/inward/record.url?scp=84962040765&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2016.03.019

DO - 10.1016/j.aim.2016.03.019

M3 - مقالة

SN - 0001-8708

VL - 300

SP - 229

EP - 274

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -