Graded involutions on block-triangular matrix algebras

2020 ◽  
Vol 585 ◽  
pp. 24-44
Author(s):  
Claudemir Fidelis ◽  
Dimas José Gonçalves ◽  
Diogo Diniz ◽  
Felipe Yukihide Yasumura
Keyword(s):  
Triangular Matrix ◽  
Matrix Algebras ◽  
Block Triangular Matrix

Abelian Gradings on Upper Block Triangular Matrices

2012 ◽  
Vol 55 (1) ◽  
pp. 208-213 ◽  
Author(s):  
Angela Valenti ◽  
Mikhail Zaicev
Keyword(s):  
Abelian Group ◽  
Characteristic Zero ◽  
Finite Abelian Group ◽  
Triangular Matrix ◽  
Closed Field ◽  
Triangular Matrices ◽  
Algebraically Closed Field ◽  
Matrix Algebras ◽  
Block Triangular Matrix

AbstractLet G be an arbitrary finite abelian group. We describe all possible G-gradings on upper block triangular matrix algebras over an algebraically closed field of characteristic zero.

On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups

2020 ◽  
Vol 601 ◽  
pp. 311-337
Author(s):  
Onofrio Mario Di Vincenzo ◽  
Marcos Antônio da Silva Pinto ◽  
Viviane Ribeiro Tomaz da Silva
Keyword(s):  
Triangular Matrix ◽  
Polynomial Identities ◽  
Matrix Algebras ◽  
Cyclic Groups ◽  
Block Triangular Matrix
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