# 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.

## References

SHOWING 1-10 OF 13 REFERENCES

### An Attempt of Construction for the Grassmann Numbers

- Mathematics
- 2006

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

- Mathematics
- 2001

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

- Mathematics
- 2009

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

- Physics
- 1983

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

### Introduction To Elementary Particles 2nd Edition

- Physics
- 2012

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

- Physics
- 1992

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…

### Modern Quantum Mechanics

- Physics
- 1986

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.…