# Fermionic realisations of simple Lie algebras and their invariant fermionic operators

@article{Azcrraga2000FermionicRO, title={Fermionic realisations of simple Lie algebras and their invariant fermionic operators}, author={Jos{\'e} A. de Azc{\'a}rraga and Alan J. Macfarlane}, journal={Nuclear Physics}, year={2000}, volume={581}, pages={743-760} }

## 4 Citations

### Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations

- Mathematics
- 2000

This paper deals with the striking fact that there is an essentially canonical path from the ith Lie algebra cohomology cocycle, i=1,2,…,l, of a simple compact Lie algebra g of rank l to the…

### COMPILATION OF RELATIONS FOR THE ANTISYMMETRIC TENSORS DEFINED BY THE LIE ALGEBRA COCYCLES OF su(n)

- Mathematics
- 2001

This paper attempts to provide a comprehensive compilation of results, many new here, involving the invariant totally antisymmetric tensors (Omega tensors) which define the Lie algebra cohomology…

### SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS

- Mathematics
- 2001

To provide tools, especially L-operators, for use in studies of rational Yang–Baxter algebras and quantum integrable models when the Lie algebras so(N)(bn, dn) or sp(2n)(cn) are the invariance…

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