The Hochschild Cohomology Rings of Wreathed 2-groups

2015 ◽  
Vol 43 (12) ◽  
pp. 5454-5480
Author(s):  
Takaomi Kawano
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Rings

scholarly journals THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS

2010 ◽  
Vol 09 (01) ◽  
pp. 73-122 ◽  
Author(s):  
NICOLE SNASHALL ◽  
RACHEL TAILLEFER
Keyword(s):  
London Math ◽  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Krull Dimension ◽  
Finitely Generated ◽  
Cohomology Rings ◽  
Hochschild Cohomology Ring ◽  
Special Biserial Algebras ◽  
Support Varieties

We consider a class of self-injective special biserial algebras ΛN over a field K and show that the Hochschild cohomology ring of dΛN is a finitely generated K-algebra. Moreover, the Hochschild cohomology ring of ΛN modulo nilpotence is a finitely generated commutative K-algebra of Krull dimension two. As a consequence the conjecture of [N. Snashall and Ø. Solberg, Support varieties and Hochschild cohomology rings, Proc. London Math. Soc.88 (2004) 705–732], concerning the Hochschild cohomology ring modulo nilpotence, holds for this class of algebras.

Cohomology rings of the plactic monoid algebra via a Gröbner–Shirshov basis

2016 ◽  
Vol 15 (05) ◽  
pp. 1650082 ◽  
Author(s):  
Viktor Lopatkin
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Cohomology Rings ◽  
Hochschild Cohomology Ring ◽  
Plactic Monoid

In this paper, we calculate the cohomology ring [Formula: see text] and the Hochschild cohomology ring of the plactic monoid algebra [Formula: see text] via the Anick resolution using a Gröbner–Shirshov basis.

Hochschild cohomology rings of Temperley-Lieb algebras

2015 ◽  
Vol 36 (4) ◽  
pp. 613-624
Author(s):  
Huanhuan Li ◽  
Yunge Xu ◽  
Yuan Chen
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Rings

Tensor structure on kC-mod and cohomology

2012 ◽  
Vol 56 (1) ◽  
pp. 349-370 ◽  
Author(s):  
Fei Xu
Keyword(s):  
Hochschild Cohomology ◽  
Theoretic Approach ◽  
Tensor Structure ◽  
Finitely Generated ◽  
Multiplicative Structure ◽  
Cohomology Rings ◽  
Similarities And Differences ◽  
Category Algebras

AbstractLet $\mathcal{C}$ be a finite category and let k be a field. We consider the category algebra $k\mathcal{C}$ and show that $k\mathcal{C}$-mod is closed symmetric monoidal. Through comparing $k\mathcal{C}$ with a co-commutative bialgebra, we exhibit the similarities and differences between them in terms of homological properties. In particular, we give a module-theoretic approach to the multiplicative structure of the cohomology rings of small categories. As an application, we prove that the Hochschild cohomology rings of a certain type of finite category algebras are finitely generated.

Hochschild cohomology rings of tame Hecke algebras

2013 ◽  
Vol 142 (3-4) ◽  
pp. 491-512
Author(s):  
Yunge Xu ◽  
Tiwei Zhao
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras ◽  
Cohomology Rings
Sign in / Sign up

Export Citation Format

Share Document