• Corpus ID: 119596254

Building Grassmann Numbers from PI-Algebras

@article{Bentn2012BuildingGN,
  title={Building Grassmann Numbers from PI-Algebras},
  author={Ricardo Bent{\'i}n and S{\'e}rgio Mota},
  journal={arXiv: Mathematical Physics},
  year={2012}
}
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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References

SHOWING 1-10 OF 13 REFERENCES

An Attempt of Construction for the Grassmann Numbers

We will pursue a way of building up an algebraic structure that involves, in a mathematical abstract way, the well known Grassmann variables. The problem arises when we tried to understand the…

On the identities of the Grassmann algebras in characteristicp>0

In this note we exhibit bases of the polynomial identities satisfied by the Grassmann algebras over a field of positive characteristic. This allows us to answer the following question of Kemer: Does…

PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic

The verbally prime algebras are well understood in characteristic 0 while over a field of positive characteristic p > 2 little is known about them. In previous papers we discussed some sharp…

Superspace or One Thousand and One Lessons in Supersymmetry

The 1983 book, free at last, with corrections and bookmarks. From the original troff, but now with CM (TeX) fonts.

Introduction to Elementary Particles

Introduction To Elementary Particles 2nd Edition

Introduction to Quantum MechanicsQuantum Field Theory for the Gifted AmateurEinführung in die ElementarteilchenphysikIntroduction to Elementary Particle PhysicsTeilchen und KerneElementary Particle…

The Method of Second Quantization

In the usual formalism of quantum mechanics, the first quantization formalism, observables are represented by operators and the wave functions are normal functions. In the method of second…

Quantum Electrodynamics

Finite basis property of identities of associative algebras

Modern Quantum Mechanics

1. Fundamental Concepts. 2. Quantum Dynamics. 3. Theory of Angular Momentum. 4. Symmetry in Quantum Mechanics. 5. Approximation Methods. 6. Identical Particles. 7. Scattering Theory. Appendices.…