Z(2) and Z-graded central polynomials of the Grassmann algebra

Author(s)

Guimaraes, Alan De Araujo ; Fidelis, Claudemir ; Koshlukov, Plamen

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 30, n. 5, p. 22-pg., 2020-08-01.

Abstract

Let F be an infinite field of characteristic different from 2, and let E be the Grassmann algebra of a countable of dimensional F-vector space L. In this paper, we study the graded central polynomials of gradings on E by the groups Z(2) and Z, where the basis of the vector space L is homogeneous. More specifically, we provide a basis for the T-G-space of graded central polynomials for E, where the group G is Z(2) and Z. (AU)

• FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
• Grantee: Ivan Chestakov
• Support Opportunities: Research Projects - Thematic Grants