A characteristic map for compact quantum groups

Atabey Kaygun; Serkan Sütlü

doi:10.1007/s40062-016-0138-y

A characteristic map for compact quantum groups

Atabey Kaygun, Serkan Sütlü^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Isik University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U_q(g) to the twisted cyclic cohomology of quantum group algebra O(G_q). We also show that the Schmüdgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podleś sphere O(Sq2) is in the image of this map.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	549-576
Sayfa sayısı	28
Dergi	Journal of Homotopy and Related Structures
Hacim	12
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s40062-016-0138-y
Yayın durumu	Yayınlandı - 1 Eyl 2017

Bibliyografik not

Publisher Copyright:
© 2016, Tbilisi Centre for Mathematical Sciences.

Belgeye Erişim

10.1007/s40062-016-0138-y

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "A characteristic map for compact quantum groups",

abstract = "We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra Uq(g) to the twisted cyclic cohomology of quantum group algebra O(Gq). We also show that the Schm{\"u}dgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podle{\'s} sphere O(Sq2) is in the image of this map.",

keywords = "Characteristic map, Compact quantum group algebra, Cyclic cohomology",

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

note = "Publisher Copyright: {\textcopyright} 2016, Tbilisi Centre for Mathematical Sciences.",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s40062-016-0138-y",

language = "English",

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journal = "Journal of Homotopy and Related Structures",

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T1 - A characteristic map for compact quantum groups

AU - Kaygun, Atabey

AU - Sütlü, Serkan

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra Uq(g) to the twisted cyclic cohomology of quantum group algebra O(Gq). We also show that the Schmüdgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podleś sphere O(Sq2) is in the image of this map.

AB - We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra Uq(g) to the twisted cyclic cohomology of quantum group algebra O(Gq). We also show that the Schmüdgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podleś sphere O(Sq2) is in the image of this map.

KW - Characteristic map

KW - Compact quantum group algebra

KW - Cyclic cohomology

UR - http://www.scopus.com/inward/record.url?scp=85028604959&partnerID=8YFLogxK

U2 - 10.1007/s40062-016-0138-y

DO - 10.1007/s40062-016-0138-y

M3 - Article

AN - SCOPUS:85028604959

SN - 2193-8407

VL - 12

SP - 549

EP - 576

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

IS - 3

ER -

A characteristic map for compact quantum groups

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap