Twist deformations for generalized Heisenberg algebras
Quantum Algebra
2016-11-23 v1
Abstract
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.
Cite
@article{arxiv.math/0001136,
title = {Twist deformations for generalized Heisenberg algebras},
author = {Vladimir D. Lyakhovsky},
journal= {arXiv preprint arXiv:math/0001136},
year = {2016}
}
Comments
12 pages, Latex, to be published in the Proceedings of the XIV-th Symposium, Karpacz, Sept. 99