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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