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Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
On the derivation algebra of the free Lie algebra and trace maps
derivation algebra free Lie algebra trace maps
2011/1/20
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Derivation-Simple Algebras Structures Lie Algebras of Witt Type
2010/11/1
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associati...
In this paper, the k-derivation is defined on a G-ring M (that is, if M is a G-ring, d:M\to M and k:G\to G are to additive maps such that d(ab b )= d(a)b b + ak(b)b + ab d(b) for all a,b\in M, \quad b...
Mechanical Formula Derivation in Elementary Geometries
Elementary geometry formula derivation GrÄ obner bases Ritt{Wu's method Heron's formula Brahmagupta's Formula locus equations Peaucellier's linkage
2013/9/9
A precise formulation for the relations among certain variables under a set of polynomial equations and a set of polynomial inequations (to exclude certain special cases which cannot be excluded by th...