scholarly journals Universal Deformation Rings of Modules for Algebras of Dihedral Type of Polynomial Growth

2013 ◽  
Vol 17 (1) ◽  
pp. 289-303 ◽  
Author(s):  
Frauke M. Bleher ◽  
Shannon N. Talbott
Keyword(s):  
Polynomial Growth ◽  
Universal Deformation Rings ◽  
Deformation Rings ◽  
Dihedral Type ◽  
Algebras Of Dihedral Type

scholarly journals Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective

2015 ◽  
Vol 58 (3) ◽  
pp. 739-767 ◽  
Author(s):  
Nicole Snashall ◽  
Rachel Taillefer
Keyword(s):  
Natural Generalization ◽  
Stable Equivalence ◽  
Symmetric Algebras ◽  
Special Biserial Algebras ◽  
Weakly Symmetric ◽  
Dihedral Type ◽  
Indecomposable Projective Module ◽  
Algebras Of Dihedral Type ◽  
Euclidean Type

AbstractWe consider a natural generalization of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of Morita type. This includes the weakly symmetric algebras of Euclidean type n, as studied by Bocian et al., as well as some algebras of dihedral type.

scholarly journals Universal deformation rings and tame blocks

2014 ◽  
Vol 412 ◽  
pp. 87-106
Author(s):  
Frauke M. Bleher ◽  
Giovanna Llosent ◽  
Jennifer B. Schaefer
Keyword(s):  
Universal Deformation Rings ◽  
Deformation Rings

scholarly journals Universal Deformation Rings for the Symmetric Group S 4

2009 ◽  
Vol 13 (3) ◽  
pp. 255-270 ◽  
Author(s):  
Frauke M. Bleher ◽  
Giovanna Llosent
Keyword(s):  
Symmetric Group ◽  
Universal Deformation Rings ◽  
Deformation Rings
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