• Corpus ID: 220936064

Traces, symmetric functions, and a raising operator

@article{Kocik2020TracesSF,
  title={Traces, symmetric functions, and a raising operator},
  author={Jerzy Kocik},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • Jerzy Kocik
  • Published 1 August 2020
  • Mathematics
  • arXiv: Mathematical Physics
The polynomial relationship between elementary symmetric functions (Cauchy enumeration formula) is formulated via a ``raising operator" and Fock space construction. A simple graphical proof of this relation is proposed. The new operator extends the Heisenberg algebra so that the number operator becomes a Lie product. This study is motivated by natural appearance of these polynomials in the theory of invariants for Lax equations and in classical and topological field theories. 

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References

SHOWING 1-2 OF 2 REFERENCES
Group theory for Feynman diagrams in non-Abelian gauge theories
A simple and systematic method for the calculation of group-theoretic weights associated with Feynman diagrams in non-Abelian gauge theories is presented. Both classical and exceptional groups are
Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid
For the study of singular points of dynamical systems it is natural to employ the theory of singularities of mappings (see [1], [2]).