Symmetric Algebras and Factoriality

1989 ◽  
pp. 467-496 ◽  
Author(s):  
Wolmer V. Vasconcelos
Keyword(s):  
Symmetric Algebras

PBW deformations of quantum symmetric algebras and their group extensions

2016 ◽  
Vol 15 (03) ◽  
pp. 1650049 ◽  
Author(s):  
Piyush Shroff ◽  
Sarah Witherspoon
Keyword(s):  
Finite Group ◽  
Lie Algebra ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Group Extensions ◽  
Enveloping Algebra ◽  
Symmetric Algebras ◽  
Necessary And Sufficient ◽  
Special Case

We examine PBW deformations of finite group extensions of quantum symmetric algebras, in particular the quantum Drinfeld orbifold algebras defined by the first author. We give a homological interpretation, in terms of Gerstenhaber brackets, of the necessary and sufficient conditions on parameter functions to define a quantum Drinfeld orbifold algebra, thus clarifying the conditions. In case the acting group is trivial, we determine conditions under which such a PBW deformation is a generalized enveloping algebra of a color Lie algebra; our PBW deformations include these algebras as a special case.

scholarly journals Characters and centers of symmetric algebras

1970 ◽  
Vol 16 (1) ◽  
pp. 4-13 ◽  
Author(s):  
T.V Fossum
Keyword(s):  
Symmetric Algebras

Symmetric algebras

1990 ◽  
pp. 115-160 ◽  
Author(s):  
Wolmer V. Vasconcelos
Keyword(s):  
Symmetric Algebras

On symmetric algebras

1999 ◽  
Vol 95 (6) ◽  
pp. 2609-2620 ◽  
Author(s):  
D. G. Birbas
Keyword(s):  
Symmetric Algebras

scholarly journals Antiderivations on the exterior and symmetric algebras

1972 ◽  
Vol 5 (1) ◽  
pp. 13-18 ◽  
Author(s):  
Marvin Marcus ◽  
Russell Merris
Keyword(s):  
Symmetric Algebras

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.

On the right-symmetric algebras with a unital matrix subalgebra

2021 ◽  
Vol 62 (1) ◽  
pp. 173-184
Author(s):  
A. P. Pozhidaev ◽  
I. P. Shestakov
Keyword(s):  
Symmetric Algebras ◽  
The Right
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