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Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists

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Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists. / Young, Charles A. S.; Zegers, Robin.

In: Communications in Mathematical Physics, Vol. 298, No. 3, 2010, p. 585-611.

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@article{a6108a313f2e47f4b2707fef1d52b37b,
title = "Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists",
abstract = "One way to obtain Quantized Universal Enveloping Algebras (QUEAs) of non-semisimple Lie algebras is by contracting QUEAs of semisimple Lie algebras. We prove that every contracted QUEA in a certain class is a cochain twist of the corresponding undeformed universal envelope. Consequently, these contracted QUEAs possess a triangular quasi-Hopf algebra structure. As examples, we consider kappa-Poincare in 3 and 4 spacetime dimensions",
keywords = "math.QA, hep-th",
author = "Young, {Charles A. S.} and Robin Zegers",
year = "2010",
doi = "10.1007/s00220-010-1086-8",
language = "English",
volume = "298",
pages = "585--611",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "3",

}

RIS

TY - JOUR

T1 - Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists

AU - Young, Charles A. S.

AU - Zegers, Robin

PY - 2010

Y1 - 2010

N2 - One way to obtain Quantized Universal Enveloping Algebras (QUEAs) of non-semisimple Lie algebras is by contracting QUEAs of semisimple Lie algebras. We prove that every contracted QUEA in a certain class is a cochain twist of the corresponding undeformed universal envelope. Consequently, these contracted QUEAs possess a triangular quasi-Hopf algebra structure. As examples, we consider kappa-Poincare in 3 and 4 spacetime dimensions

AB - One way to obtain Quantized Universal Enveloping Algebras (QUEAs) of non-semisimple Lie algebras is by contracting QUEAs of semisimple Lie algebras. We prove that every contracted QUEA in a certain class is a cochain twist of the corresponding undeformed universal envelope. Consequently, these contracted QUEAs possess a triangular quasi-Hopf algebra structure. As examples, we consider kappa-Poincare in 3 and 4 spacetime dimensions

KW - math.QA

KW - hep-th

UR - http://www.scopus.com/inward/record.url?scp=77954952972&partnerID=8YFLogxK

U2 - 10.1007/s00220-010-1086-8

DO - 10.1007/s00220-010-1086-8

M3 - Article

VL - 298

SP - 585

EP - 611

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -