Representations and cocycle twists of color Lie algebras

X. -W. Chen; Sergei Silvestrov; F. Van Oystaeyen

doi:10.1007/s10468-006-9027-0

Representations and cocycle twists of color Lie algebras

X. -W. Chen, Sergei Silvestrov, F. Van Oystaeyen

Matematik LTH

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).

Originalspråk	engelska
Sidor (från-till)	633-650
Tidskrift	Algebras and Representation Theory
Volym	9
Nummer	6
DOI	https://doi.org/10.1007/s10468-006-9027-0
Status	Published - 2006

Ämnesklassifikation (UKÄ)

Matematik

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10.1007/s10468-006-9027-0

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title = "Representations and cocycle twists of color Lie algebras",

abstract = "We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).",

keywords = "color Lie algebras, cocycle twists, FCR-algebras",

author = "Chen, {X. -W.} and Sergei Silvestrov and {Van Oystaeyen}, F.",

year = "2006",

doi = "10.1007/s10468-006-9027-0",

language = "English",

volume = "9",

pages = "633--650",

journal = "Algebras and Representation Theory",

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TY - JOUR

T1 - Representations and cocycle twists of color Lie algebras

AU - Chen, X. -W.

AU - Silvestrov, Sergei

AU - Van Oystaeyen, F.

PY - 2006

Y1 - 2006

N2 - We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).

AB - We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).

KW - color Lie algebras

KW - cocycle twists

KW - FCR-algebras

U2 - 10.1007/s10468-006-9027-0

DO - 10.1007/s10468-006-9027-0

M3 - Article

SN - 1386-923X

VL - 9

SP - 633

EP - 650

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 6

ER -

Representations and cocycle twists of color Lie algebras

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Ämnesklassifikation (UKÄ)

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