scholarly journals Support varieties for finite tensor categories: Complexity, realization, and connectedness

2021 ◽  
Vol 225 (9) ◽  
pp. 106705
Author(s):  
Petter Andreas Bergh ◽  
Julia Yael Plavnik ◽  
Sarah Witherspoon
Keyword(s):  
Tensor Categories ◽  
Support Varieties

scholarly journals Braided Tensor Categories of Admissible Modules for Affine Lie Algebras

2018 ◽  
Vol 362 (3) ◽  
pp. 827-854 ◽  
Author(s):  
Thomas Creutzig ◽  
Yi-Zhi Huang ◽  
Jinwei Yang
Keyword(s):  
Lie Algebras ◽  
Affine Lie Algebras ◽  
Tensor Categories

scholarly journals Symmetric tensor categories in characteristic 2

2019 ◽  
Vol 351 ◽  
pp. 967-999 ◽  
Author(s):  
Dave Benson ◽  
Pavel Etingof
Keyword(s):  
Symmetric Tensor ◽  
Tensor Categories ◽  
Characteristic 2

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.

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