# Central A-polynomials for the Grassmann Algebra

Pereira Brandão Jr., Antônio; José Gonçalves, Dimas

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 1-3, page 297-312
- ISSN: 1310-6600

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topPereira 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 -

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