13 citations · 46 across the 16 of their papers we have counts for
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An extension of a -deformed Heisenberg algebra and its Lie polynomials
Rafael Reno S. Cantuba, Mark Anthony C. Merciales
Let be a field, and fix a . The -deformed Heisenberg algebra is the unital associative algebra over with generators $A…
Lie polynomials in an algebra defined by a linearly twisted commutation relation
Rafael Reno S. Cantuba
We present an elementary approach in characterizing Lie polynomials in the generators of an algebra with a defining relation that is in the form of a deformed or twisted comm…
A Casimir element inexpressible as a Lie polynomial
Rafael Reno S. Cantuba
Let be a scalar that is not a root of unity. We show that any polynomial in the Casimir element of the Fairlie-Odesskii algebra cannot be expressed in t…
A -deformed Heisenberg algebra as a normed space
Rafael Reno S. Cantuba
Given a real number such that , the natural setting for the mathematics of a -oscillator is an infinite-dimensional, separable Hilbert space that is said to provide a…