Extensions of Deformed W-algebras via qq-characters

B. Feigin; M. Jimbo; E. Mukhin

doi:https://doi.org/10.1007/s00031-024-09869-w

Extensions of Deformed W-algebras via qq-characters

B. Feigin, M. Jimbo, E. Mukhin

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).

Original language	English
Journal	Transformation Groups
DOIs	https://doi.org/10.1007/s00031-024-09869-w
State	Accepted/In press - 2024

Keywords

Deformed W-algebras
q-characters
qq-characters
Screening operators
Vertex operators

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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https://doi.org/10.1007/s00031-024-09869-w

Cite this

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title = "Extensions of Deformed W-algebras via qq-characters",

abstract = "We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).",

keywords = "Deformed W-algebras, q-characters, qq-characters, Screening operators, Vertex operators",

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

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.",

year = "2024",

doi = "https://doi.org/10.1007/s00031-024-09869-w",

language = "الإنجليزيّة",

journal = "Transformation Groups",

issn = "1083-4362",

publisher = "Birkhauser Boston",

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T1 - Extensions of Deformed W-algebras via qq-characters

AU - Feigin, B.

AU - Jimbo, M.

AU - Mukhin, E.

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

PY - 2024

Y1 - 2024

N2 - We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).

AB - We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).

KW - Deformed W-algebras

KW - q-characters

KW - qq-characters

KW - Screening operators

KW - Vertex operators

UR - http://www.scopus.com/inward/record.url?scp=85199251627&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s00031-024-09869-w

DO - https://doi.org/10.1007/s00031-024-09869-w

M3 - مقالة

SN - 1083-4362

JO - Transformation Groups

JF - Transformation Groups

ER -

Extensions of Deformed W-algebras via qq-characters

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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