14 citations · 65 across the 17 of their papers we have counts for
6 papers · 1 filter
The Jones quotients of the Temperley-Lieb algebras
K. Iohara, G. I. Lehrer, R. B. Zhang
When the parameter is a root of unity, the Temperley-Lieb algebra is non-semisimple for almost all . Jones showed that there is a canonical symmetric bilinear form…
Dual canonical bases for the quantum general linear supergroup
Hechun Zhang, R. B. Zhang
Dual canonical bases of the quantum general linear supergroup are constructed which are invariant under the multiplication of the quantum Berezinian. By setting the quantum Berezin…
On irreducibility of tensor products of evaluation modules for the quantum affine algebra
A. I. Molev, V. N. Tolstoy, R. B. Zhang
Every irreducible finite-dimensional representation of the quantized enveloping algebra U_q(gl_n) can be extended to the corresponding quantum affine algebra via the evaluation hom…
The second cohomology of sl(m|1) with coefficients in its enveloping algebra is trivial
M. Scheunert, R. B. Zhang
Using techniques developed in a recent article by the authors, it is proved that the 2-cohomology of the Lie superalgebra sl(m|1); m > 1, with coefficients in its enveloping algebr…
Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles
R. B. Zhang
Differential calculi are obtained for quantum homogeneous spaces by extending Woronowicz' approach to the present context. Representation theoretical properties of the differential…
Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup
R. B. Zhang
The quantum general linear supergroup GLq(m|n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theo…