Results 201 to 210 of about 59,230 (210)
Some of the next articles are maybe not open access.
CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC
Communications in Algebra, 2002ABSTRACT We consider down-up algebras as defined by Benkart and Roby over ground fields of characteristic p and find the centers of those algebras. The method used here also illustrates a way of computing the center of a down-up over a field of characteristic 0 different from the ones used by Zhao [5] and by Kulkarni [3].
openaire +1 more source
Down–up algebras over a polynomial base ring 𝕂[t1,…,tn]
Journal of Algebra and Its Applications, 2015We study a class of down–up algebras 𝒜(α, β, ϕ) defined over a polynomial base ring 𝕂[t1,…,tn] and establish several analogous results. We first construct a 𝕂-basis for the algebra 𝒜(α, β, ϕ). As an application, we completely determine the center of 𝒜(α, β, ϕ) when char 𝕂 = 0, and prove that the Gelfand–Kirillov dimension of 𝒜(α, β, ϕ) is n + 3. Then,
openaire +1 more source
Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
Reviews of Modern Physics, 1975exaly
Boson realizations of Lie algebras with applications to nuclear physics
Reviews of Modern Physics, 1991exaly