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

@article{Azcarraga2001COMPILATIONOR,
title={COMPILATION OF RELATIONS FOR THE ANTISYMMETRIC TENSORS DEFINED BY THE LIE ALGEBRA COCYCLES OF su(n)},
author={J. A. de Azc'arraga and Alan J. Macfarlane},
journal={International Journal of Modern Physics A},
year={2001},
volume={16},
pages={1377-1405}
}
• Published 27 June 2000
• Mathematics
• International Journal of Modern Physics A
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 cocycles of su(n), and that play an essential role in the optimal definition of Racah–Casimir operators of su(n). Since the Omega tensors occur naturally within the algebra of totally antisymmetrized products of λ-matrices of su(n), relations within this algebra are studied in detail, and then employed…
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