Hopf-cyclic cohomology of quantum enveloping algebras

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Küçük Resim

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

European Mathematical Society Publishing House

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

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.

Açıklama

Anahtar Kelimeler

Hopf-cyclic cohomology, Noncommutative geometry, Quantum enveloping algebra, Quantum groups, Homology, Modules, Cyclic homology, Cyclic cohomology, Algebra

Kaynak

Journal of Noncommutative Geometry

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

10

Sayı

2

Künye

Kaygun, A. & Sütlü, S. S. (2016). Hopf-cyclic cohomology of quantum enveloping algebras. Journal of Noncommutative Geometry, 10(2), 429-446. doi:10.4171/JNCG/238