On the Hochschild homology of smash biproducts

A. Kaygun; S. Sütlü

doi:10.1016/j.jpaa.2020.106506

On the Hochschild homology of smash biproducts

A. Kaygun^*
, S. Sütlü

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Isik University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Atıf (Scopus)

Özet

We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra M_q(2) of quantum 2×2-matrices.

Orijinal dil	İngilizce
Makale numarası	106506
Dergi	Journal of Pure and Applied Algebra
Hacim	225
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jpaa.2020.106506
Yayın durumu	Yayınlandı - Şub 2021

Bibliyografik not

Publisher Copyright:
© 2020 Elsevier B.V.

Finansman

Acknowledgments. The first author is partially supported by NCN grant UMO-2015/19/B/ST1/03098 .

Finansörler	Finansör numarası
Narodowe Centrum Nauki	UMO-2015/19/B/ST1/03098

Belgeye Erişim

10.1016/j.jpaa.2020.106506

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On the Hochschild homology of smash biproducts",

abstract = "We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A\#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.",

author = "A. Kaygun and S. S{\"u}tl{\"u}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2021",

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doi = "10.1016/j.jpaa.2020.106506",

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AU - Kaygun, A.

AU - Sütlü, S.

PY - 2021/2

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N2 - We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.

AB - We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.

UR - https://www.scopus.com/pages/publications/85088032029

U2 - 10.1016/j.jpaa.2020.106506

DO - 10.1016/j.jpaa.2020.106506

M3 - Article

AN - SCOPUS:85088032029

SN - 0022-4049

VL - 225

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

M1 - 106506

ER -

On the Hochschild homology of smash biproducts

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap