50 citations · 143 across the 33 of their papers we have counts for
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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…
First fundamental theorems of invariant theory for quantum supergroups
G. I. Lehrer, Hechun Zhang, R. B. Zhang
Let be the quantum supergroup of or the modified quantum supergroup of over the field of rational functions in , and let $…
Quantum group actions on rings and equivariant K-theory
G. I. Lehrer, R. B. Zhang
Let $\Uq$ be a quantum group. Regarding a (noncommutative) space with $\Uq$-symmetry as a $\Uq$-module algebra , we may think of equivariant vector bundles on as projective…
A quantum analogue of the first fundamental theorem of invariant theory
G. I. Lehrer, Hechun Zhang, R. B. Zhang
We establish a noncommutative analogue of the first fundamental theorem of classical invariant theory. For each quantum group associated with a classical Lie algebra, we construct…