scholarly journals Hochschild cohomology and homology of quantum complete intersections

2010 ◽  
Vol 4 (7) ◽  
pp. 821-838 ◽  
Author(s):  
Steffen Oppermann
Keyword(s):  
Hochschild Cohomology ◽  
Complete Intersections ◽  
Quantum Complete Intersections

scholarly journals Hochschild cohomology of some quantum complete intersections

2018 ◽  
Vol 17 (11) ◽  
pp. 1850215 ◽  
Author(s):  
Karin Erdmann ◽  
Magnus Hellstrøm-Finnsen
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Ring Structure ◽  
Complete Intersections ◽  
Root Of Unity ◽  
Nilpotent Elements ◽  
Hochschild Cohomology Ring ◽  
Quantum Complete Intersections ◽  
Primitive Formula

We compute the Hochschild cohomology ring of the algebras [Formula: see text] over a field [Formula: see text] where [Formula: see text] and where [Formula: see text] is a primitive [Formula: see text]th root of unity. We find the dimension of [Formula: see text] and show that it is independent of [Formula: see text]. We compute explicitly the ring structure of the even part of the Hochschild cohomology modulo homogeneous nilpotent elements.

scholarly journals The representation dimension of quantum complete intersections

2008 ◽  
Vol 320 (1) ◽  
pp. 354-368 ◽  
Author(s):  
Petter Andreas Bergh ◽  
Steffen Oppermann
Keyword(s):  
Complete Intersections ◽  
Representation Dimension ◽  
Quantum Complete Intersections

scholarly journals Ext-symmetry over quantum complete intersections

2009 ◽  
Vol 92 (6) ◽  
pp. 566-573 ◽  
Author(s):  
Petter Andreas Bergh
Keyword(s):  
Complete Intersections ◽  
Quantum Complete Intersections

scholarly journals Homology and cohomology of quantum complete intersections

2008 ◽  
Vol 2 (5) ◽  
pp. 501-522 ◽  
Author(s):  
Petter Bergh ◽  
Karin Erdmann
Keyword(s):  
Complete Intersections ◽  
Quantum Complete Intersections

scholarly journals The Avrunin–Scott theorem for quantum complete intersections

2009 ◽  
Vol 322 (2) ◽  
pp. 479-488 ◽  
Author(s):  
Petter Andreas Bergh ◽  
Karin Erdmann
Keyword(s):  
Complete Intersections ◽  
Quantum Complete Intersections

Small modules over quantum complete intersections in two variables

2020 ◽  
pp. 2150047
Author(s):  
Hanyang You ◽  
Pu Zhang
Keyword(s):  
Complete Intersection ◽  
Complete Intersections ◽  
Dimension Formula ◽  
Loewy Length ◽  
Finite Dimensional ◽  
Regular Module ◽  
Left Regular ◽  
Quantum Complete Intersections ◽  
Intersection Formula

We describe the left regular module of a quantum complete intersection [Formula: see text] by the property that it is the unique finite-dimensional indecomposable left [Formula: see text]-module of Loewy length [Formula: see text] Using a reduction to [Formula: see text]-modules, we classify the [Formula: see text]-dimensional indecomposable left modules over quantum complete intersection [Formula: see text] in two variables, by explicitly giving their diagram presentations. Together with the existed work on indecomposable [Formula: see text]-modules of dimension [Formula: see text], we then know all the indecomposable [Formula: see text]-modules of dimension [Formula: see text].

scholarly journals The Hochschild cohomology of square-free monomial complete intersections

2019 ◽  
Vol 47 (8) ◽  
pp. 3040-3055 ◽  
Author(s):  
Nghia T. H. Tran ◽  
Emil Sköldberg
Keyword(s):  
Hochschild Cohomology ◽  
Complete Intersections
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