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4 papers
The inverse of a real generalized Cartan matrix
Hechun Zhang
The purpose of this note is to give explicit criteria to determine whether a real generalized Cartan matrix is of finite type, affine type or of hyperbolic type by considering the…
Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Yucai Su, Xiaoping Xu, Hechun Zhang
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 co…
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…