scholarly journals HOCHSCHILD COHOMOLOGY AND SUPPORT VARIETIES FOR TAME HECKE ALGEBRAS

2010 ◽  
Vol 62 (4) ◽  
pp. 1017-1029 ◽  
Author(s):  
S. Schroll ◽  
N. Snashall
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras ◽  
Support Varieties

scholarly journals A Spectral Sequence for the Hochschild Cohomology of a Coconnective DGA

2013 ◽  
Vol 112 (2) ◽  
pp. 182 ◽  
Author(s):  
Shoham Shamir
Keyword(s):  
Spectral Sequence ◽  
Loop Space ◽  
Hochschild Cohomology ◽  
Derived Category ◽  
Orientable Manifold ◽  
Support Varieties ◽  
Mod P

A spectral sequence for the computation of the Hochschild cohomology of a coconnective dga over a field is presented. This spectral sequence has a similar flavour to the spectral sequence presented in [7] for the computation of the loop homology of a closed orientable manifold. Using this spectral sequence we identify a class of spaces for which the Hochschild cohomology of their mod-$p$ cochain algebra is Noetherian. This implies, among other things, that for such a space the derived category of mod-$p$ chains on its loop-space carries a theory of support varieties.

scholarly journals Hochschild cohomology of Hecke algebras

2011 ◽  
Vol 336 (1) ◽  
pp. 391-394 ◽  
Author(s):  
David J. Benson ◽  
Karin Erdmann
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras

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.

scholarly journals Truncated Quantum Drinfeld Hecke Algebras and Hochschild Cohomology

2018 ◽  
Vol 22 (3) ◽  
pp. 569-587
Author(s):  
Lauren Grimley ◽  
Christine Uhl
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras

scholarly journals Hochschild cohomology and quantum Drinfeld Hecke algebras

2016 ◽  
Vol 22 (3) ◽  
pp. 1537-1561 ◽  
Author(s):  
Deepak Naidu ◽  
Sarah Witherspoon
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras

scholarly journals Support varieties for Hecke algebras

2019 ◽  
Vol 21 (2) ◽  
pp. 59-82 ◽  
Author(s):  
Daniel K. Nakano ◽  
Ziqing Xiang
Keyword(s):  
Hecke Algebras ◽  
Support Varieties

scholarly journals Hochschild cohomology and graded Hecke algebras

2008 ◽  
Vol 360 (08) ◽  
pp. 3975-4005 ◽  
Author(s):  
Anne V. Shepler ◽  
Sarah Witherspoon
Keyword(s):  
Hochschild Cohomology ◽  
Hecke Algebras ◽  
Graded Hecke Algebras

scholarly journals Support varieties and Hochschild cohomology rings

2004 ◽  
Vol 88 (03) ◽  
pp. 705-732 ◽  
Author(s):  
Nicole Snashall ◽  
Øyvind Solberg
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Rings ◽  
Support Varieties
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