Central A-polynomials for the Grassmann Algebra

Pereira Brandão Jr., Antônio, and José Gonçalves, Dimas. "Central A-polynomials for the Grassmann Algebra." Serdica Mathematical Journal 38.1-3 (2012): 297-312. <http://eudml.org/doc/288270>.

@article{PereiraBrandãoJr2012,
abstract = {2010 Mathematics Subject Classification: 16R10, 16R40, 16R50.Let F be an algebraically closed field of characteristic 0, and let G be the infinite dimensional Grassmann (or exterior) algebra over F. In 2003 A. Henke and A. Regev started the study of the A-identities. They described the A-codimensions of G and conjectured a finite generating set of the A-identities for G. In 2008 D. Gonçalves and P. Koshlukov answered in the affirmative their conjecture. In this paper we describe the central A-polynomials for G.∗ Partially supported by CNPq/Brazil 620150/2008-4, and by INCT. ∗∗ Supported by DPP/UnB and by CNPq-FAPDF PRONEX grant 2009/00091-0 193.000.580/2009).},
author = {Pereira Brandão Jr., Antônio, José Gonçalves, Dimas},
journal = {Serdica Mathematical Journal},
keywords = {A-Identity; Central A-Polynomial; Grassmann Algebra},
language = {eng},
number = {1-3},
pages = {297-312},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Central A-polynomials for the Grassmann Algebra},
url = {http://eudml.org/doc/288270},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Pereira Brandão Jr., Antônio
AU - José Gonçalves, Dimas
TI - Central A-polynomials for the Grassmann Algebra
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 297
EP - 312
AB - 2010 Mathematics Subject Classification: 16R10, 16R40, 16R50.Let F be an algebraically closed field of characteristic 0, and let G be the infinite dimensional Grassmann (or exterior) algebra over F. In 2003 A. Henke and A. Regev started the study of the A-identities. They described the A-codimensions of G and conjectured a finite generating set of the A-identities for G. In 2008 D. Gonçalves and P. Koshlukov answered in the affirmative their conjecture. In this paper we describe the central A-polynomials for G.∗ Partially supported by CNPq/Brazil 620150/2008-4, and by INCT. ∗∗ Supported by DPP/UnB and by CNPq-FAPDF PRONEX grant 2009/00091-0 193.000.580/2009).
LA - eng
KW - A-Identity; Central A-Polynomial; Grassmann Algebra
UR - http://eudml.org/doc/288270
ER -