3 citations · 10 across the 7 of their papers we have counts for
7 papers
Automorphisms and representations of quasi Laurent polynomial algebras
He Zhang, Hechun Zhang, Ruibin Zhang
We study automorphisms and representations of quasi polynomial algebras (QPAs) and quasi Laurent polynomial algebras (QLPAs). For any QLPA defined by an arbitrary skew symmetric in…
Schur-Weyl duality for certain infinite dimensional -modules
Kenji Iohara, Gus Lehrer, Ruibin Zhang
Let be the two-dimensional simple module and be a projective Verma module for the quantum group of at generic . We show that for any , the endo…
Degenerate quantum general linear groups
Jin Cheng, Yan Wang, Ruibin Zhang
Given any pair of positive integers m and n, we construct a new Hopf algebra, which may be regarded as a degenerate version of the quantum group of gl(m+n). We study its structure…
The Brauer Category and Invariant Theory
G. I. Lehrer, R. B. Zhang
A category of Brauer diagrams, analogous to Turaev's tangle category, is introduced, and a presentation of the category is given; specifically, we prove that seven relations among…
The second fundamental theorem of invariant theory for the orthogonal group
Gustav Lehrer, Ruibin Zhang
Let $V=\C^n$ be endowed with an orthogonal form and $G=\Or(V)$ be the corresponding orthogonal group. Brauer showed in 1937 that there is a surjective homomorphism $ν:B_r(n)\to\End…
On endomorphisms of quantum tensor space
G. I. Lehrer R. B. Zhang
We give a presentation of the endomorphism algebra $\End_{\cU_q(\fsl_2)}(V^{\otimes r})$, where is the 3-dimensional irreducible module for quantum $\fsl_2$ over the function f…