G-invariant polynomial extensions of Lie algebras in quantum many-body physics
- 1 January 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (1) , 153-165
- https://doi.org/10.1088/0305-4470/27/1/009
Abstract
A new class of Lie-algebraic structures gd is revealed in some multi-particle processes of quantum physics having internal symmetry groups Ginv. They are extensions of some Lie algebras h (via coset construction) by G-invariant h-tensors v which are polynomials in boson operators. Applications of these algebras are briefly discussed for solving spectral and evolution tasks with gd as their dynamic symmetry algebras.Keywords
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