2 citations · 2 across the 6 of their papers we have counts for
6 papers
Representations of the restricted Lie superalgebra p(n)
Chaowen Zhang
The center of a quotient of the reduced enveloping algebra of p(n) is studied. By using the obtained results, the restricted representation of p(n) is investigated.
On the simplicity of induced modules for reductive Lie algebras. II
Chaowen Zhang
A sufficient condition for the simplicity of induced modules of reductive Lie algebras is given.
On the simplicity of induced modules for reductive Lie algebras
Chaowen Zhang
The simplicity of the induced modules for reductive Lie algebras over an algebraically closed field of positive characteristic is studied, and a necessary and sufficient condition…
The simplicity of Kac modules for the quantum superalgebra U_q(gl(m,n))
Chaowen Zhang
The simplicity of the Kac modules for the quantum superalgebra U_q(gl(m,n)) is studied, and the relation between the representation of U_q(gl(m,n)) and that of U_q(g_{\0}) is inves…
On the simplicity of Kac modules for the restricted Lie superalgebra gl(m,n)
Chaowen Zhang
The polynomial which determine the simplicity of the Kac modules for the restricted Lie superalgebra gl(m,n) is completely determined by a characteristic free approach. Its applica…
On the quantum superalgebra U_q(gl(m,n)) and its representations at roots of 1
Chaowen Zhang
An purely algebraic proof of the PBW theorem of U_q(gl(m,n)) is given. Lusztig's conjecture is extended to the super case. The Lusztig's tensor product theorem is established.