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Building Grassmann Numbers from PI-Algebras

2012/04/06 by Ricardo Bentin, Ricardo M. Bentin, Bentin, Ricardo M. +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1204.1471

Universiade Estadual de Santa Cruz

arxiv created 2012/04/06 · arxiv updated 2012/04/09

Abstract

This works deals with the formal mathematical structure of so called Grassmann Numbers applied to Theoretical Physics, which is a basic concept on Berezin integration. To achieve this purpose we make use of some constructions from relative modern Polynomial Identity Algebras (PI-Algebras) applied to the special case of the Grassmann algebra.

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