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On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
(IOP Publishing, 2016-01)
We study two-dimensional Hamiltonians in phase space with noncommutativity both in coordinates and momenta. We consider the generator of rotations on the noncommutative plane and the Lie algebra generated by Hermitian ...
Supersymmetry in the non-commutative plane
(Academic Press Inc. Elsevier Science, 2005)
Hopf algebras in noncommutative geometry
(2003)
We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connected Hopf algebra arising from a universal ...
The structure of smooth algebras in Kapranov's framework for noncommutative geometry
(Academic Press Inc Elsevier Science, 2004-11)
In Kapranov, M. Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73-118, a theory of noncommutative algebraic varieties was proposed. Here we prove a structure theorem for the ...
Noncommutative Jordan superalgebras of degree n > 2
(SPRINGER, 2010)
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative ...