5 papers · 1 filter
Quantized Dirac Operators
Hans Plesner Jakobsen
We determine what should correspond to the Dirac operator on certain quantized hermitian symmetric spaces and what its properties are. A new insight into the quantized wave operato…
Q-differential operators
Hans Plesner Jakobsen
We set up a framework for discussing `-analogues' of the usual covariant differential operators for hermitian symmetric spaces. This turns out to be directly related to the defo…
Quantized Heisenberg Space
Hans Plesner Jakobsen, Hechun Zhang
We investigate the algebra introduced by Faddeev, Reshetikhin and Takhadjian. In case is a primitive root of unity the degree, the center, and the set of irreducible r…
A class of quadratic matrix algebras arising from the quantized enveloping algebra ${\s U}_q(A_{2n-1})$
Hans Plesner Jakobsen, Hechun Zhang
A natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside ${\s U}_q(A_{2n-1})$, it consists of quadratic algebras with the…
Quantized rank R matrices
Hans Plesner Jakobsen, Søren Jøndrup
First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized matrices as well as quantized factor algebras of $M…