Hopf-cyclic cohomology of quantum enveloping algebras

Atabey Kaygun; Serkan Sütlü

doi:10.4171/JNCG/238

Hopf-cyclic cohomology of quantum enveloping algebras

Atabey Kaygun, Serkan Sütlü

Matematik Bölümü

Isik University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra U_q.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	429-446
Sayfa sayısı	18
Dergi	Journal of Noncommutative Geometry
Hacim	10
Basın numarası	2
DOI'lar	https://doi.org/10.4171/JNCG/238
Yayın durumu	Yayınlandı - 2016

Bibliyografik not

Publisher Copyright:
© European Mathematical Society.

Belgeye Erişim

10.4171/JNCG/238

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{fcc2645da86f48ed91d04d7d1c533842,

title = "Hopf-cyclic cohomology of quantum enveloping algebras",

abstract = "In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.",

keywords = "Hopf-cyclic cohomology, Noncommutative geometry, Quantum enveloping algebra, Quantum groups",

author = "Atabey Kaygun and Serkan S{\"u}tl{\"u}",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2016",

doi = "10.4171/JNCG/238",

language = "English",

volume = "10",

pages = "429--446",

journal = "Journal of Noncommutative Geometry",

issn = "1661-6952",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Hopf-cyclic cohomology of quantum enveloping algebras

AU - Kaygun, Atabey

AU - Sütlü, Serkan

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2016

Y1 - 2016

N2 - In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.

AB - In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.

KW - Hopf-cyclic cohomology

KW - Noncommutative geometry

KW - Quantum enveloping algebra

KW - Quantum groups

UR - http://www.scopus.com/inward/record.url?scp=84976507869&partnerID=8YFLogxK

U2 - 10.4171/JNCG/238

DO - 10.4171/JNCG/238

M3 - Article

AN - SCOPUS:84976507869

SN - 1661-6952

VL - 10

SP - 429

EP - 446

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 2

ER -

Hopf-cyclic cohomology of quantum enveloping algebras

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap