The Hochschild Cohomology Ring of Preprojective Algebras of Type n Over a Field of Characteristic 2

Author: Andreu Juan Estefanía  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.41, Iss.8, 2013-08, pp. : 3045-3057

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Abstract

We shall give a description by generators and relations of the classical and stable Hochschild cohomology ring of a finite-dimensional preprojective algebra of generalized type n over a field of characteristic 2. We also compute the structure as graded modules over the respective Hochschild cohomology rings. This completes the results in [1], where that description is obtained when the base field has characteristic ≠ 2.