Central A-polynomials for the Grassmann Algebra

Autor:	Dimas José Gonçalves, Antônio Pereira Brandão Jr
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Central A-Polynomial A-Identity Grassmann Algebra
Zdroj:	Dimas José Gonçalves
Popis:	∗ 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). 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. 2010 Mathematics Subject Classification: 16R10, 16R40, 16R50.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4b3dd6873756e7e5d05edd4de545a62b https://hdl.handle.net/10525/2799 Zobrazit plný text záznamu