Twist deformations for generalized Heisenberg algebras

Details Twist deformations for generalized Heisenberg algebras Twist deformations for generalized Heisenberg algebras

2000-01-25

arxiv.org/abs/math/0001136v1

Mathematics

Quantum Algebra

12 pages, Latex, to be published in the Proceedings of the XIV-th Symposium, Karpacz, Sept. 99

Scientific paper

Multidimensional Heisenberg algebras, whose creation and annihilation operators are the N-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of their deformations can be investigated using chains of extended Jordanian twists applied to U(g). In the case of U(sl(N)) (for N>5) the two-dimensional Heisenberg subalgebras have nine deformed costructures connected by four "internal" and "external" twists composing the commutative diagram.

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