On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras

Centrone, Lucio. "On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras." Serdica Mathematical Journal 38.1-3 (2012): 43-68. <http://eudml.org/doc/288274>.

@article{Centrone2012,
abstract = {2010 Mathematics Subject Classification: 16R10, 16W55, 15A75.We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.},
author = {Centrone, Lucio},
journal = {Serdica Mathematical Journal},
keywords = {Graded PI-algebras; Gelfand-Kirillov Dimension},
language = {eng},
number = {1-3},
pages = {43-68},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras},
url = {http://eudml.org/doc/288274},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Centrone, Lucio
TI - On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 43
EP - 68
AB - 2010 Mathematics Subject Classification: 16R10, 16W55, 15A75.We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.
LA - eng
KW - Graded PI-algebras; Gelfand-Kirillov Dimension
UR - http://eudml.org/doc/288274
ER -