Hochschild cohomology of algebras arising from categories and from bounded quivers

Claude Cibils; Marcelo Lanzilotta; Eduardo Marcos; Andrea Solotar

doi:10.4171/jncg/344

Hochschild cohomology of algebras arising from categories and from bounded quivers

Journal of Noncommutative Geometry ◽

10.4171/jncg/344 ◽

2019 ◽

Vol 13 (3) ◽

pp. 1011-1053

Author(s):

Claude Cibils ◽

Marcelo Lanzilotta ◽

Eduardo Marcos ◽

Andrea Solotar

Keyword(s):

Hochschild Cohomology ◽

Cohomology Of Algebras

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Hochschild Cohomology of Algebras of Quaternion Type. IV: Cohomology Algebra for Exceptional Local Algebras

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04818-w ◽

2020 ◽

Vol 247 (4) ◽

pp. 518-549

Author(s):

A. I. Generalov ◽

V. Semenov

Keyword(s):

Hochschild Cohomology ◽

Cohomology Algebra ◽

Type Iv ◽

Local Algebras ◽

Quaternion Type ◽

Cohomology Of Algebras

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Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter

Journal of Mathematical Sciences ◽

10.1007/s10958-009-9296-3 ◽

2009 ◽

Vol 156 (6) ◽

pp. 877-900

Author(s):

A. I. Genralov

Keyword(s):

Small Parameter ◽

Hochschild Cohomology ◽

Type Iii ◽

Quaternion Type ◽

Cohomology Of Algebras

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Hochschild cohomology of algebras of dihedral type. II. Local algebras

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0141-5 ◽

2010 ◽

Vol 171 (3) ◽

pp. 357-379

Author(s):

A. I. Generalov

Keyword(s):

Hochschild Cohomology ◽

Type Ii ◽

Local Algebras ◽

Cohomology Of Algebras ◽

Dihedral Type ◽

Algebras Of Dihedral Type

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Hochschild cohomology of algebras of quaternion type: the family $Q{\left( {2{\mathcal B}} \right)_1}$ in characteristic 3

Journal of Mathematical Sciences ◽

10.1007/s10958-012-0830-3 ◽

2012 ◽

Vol 183 (5) ◽

pp. 658-674

Author(s):

A. A. Ivanov

Keyword(s):

Hochschild Cohomology ◽

Quaternion Type ◽

The Family ◽

Cohomology Of Algebras ◽

Characteristic 3

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Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-06-00942-3 ◽

2006 ◽

Vol 18 (1) ◽

pp. 37-76 ◽

Cited By ~ 1

Author(s):

A. I. Generalov

Keyword(s):

Hochschild Cohomology ◽

Type I ◽

Quaternion Type ◽

Cohomology Of Algebras ◽

Generalized Quaternion

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Hochschild cohomology of algebras of semidihedral type. II. Local algebras

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0644-8 ◽

2011 ◽

Vol 180 (3) ◽

pp. 278-314

Author(s):

A. I. Generalov

Keyword(s):

Hochschild Cohomology ◽

Type Ii ◽

Semidihedral Type ◽

Local Algebras ◽

Cohomology Of Algebras

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Hochschild Cohomology of Algebras of Semidihedral Type. V. The Family S D 3 K $$ SD\left(3\mathcal{K}\right) $$

Journal of Mathematical Sciences ◽

10.1007/s10958-016-3122-5 ◽

2016 ◽

Vol 219 (4) ◽

pp. 493-512

Author(s):

A. I. Generalov ◽

I. M. Zilberbord

Keyword(s):

Hochschild Cohomology ◽

Semidihedral Type ◽

The Family ◽

Cohomology Of Algebras ◽

Type V

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Hochschild cohomology of algebras of quaternionic type: The family Q(2ℬ)1(k, s, a, c) over a field of characteristic different from 2

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454110010103 ◽

2010 ◽

Vol 43 (1) ◽

pp. 54-62

Author(s):

A. A. Ivanov

Keyword(s):

Hochschild Cohomology ◽

The Family ◽

Cohomology Of Algebras

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Hochschild Cohomology of Algebras of Semidihedral Type. IX: Exceptional Local Algebras

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04817-x ◽

2020 ◽

Vol 247 (4) ◽

pp. 507-517

Author(s):

A. I. Generalov ◽

D. A. Nikulin

Keyword(s):

Hochschild Cohomology ◽

Semidihedral Type ◽

Local Algebras ◽

Cohomology Of Algebras

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Hochschild Cohomology of Algebras of Dihedral Type. VIII. Hochshild Cohomology Algebra for the Family D(2ℬ)(k, s, 0) in Characteristic 2

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04555-9 ◽

2019 ◽

Vol 243 (4) ◽

pp. 535-560

Author(s):

A. I. Generalov ◽

N. Yu. Kosovskaia

Keyword(s):

Hochschild Cohomology ◽

Cohomology Algebra ◽

Type Viii ◽

The Family ◽

Cohomology Of Algebras ◽

Dihedral Type ◽

Characteristic 2 ◽

Algebras Of Dihedral Type

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