14 citations · 65 across the 17 of their papers we have counts for
17 papers
Diagram categories and invariant theory for classical groups and supergroups
G. I. Lehrer, R. B. Zhang
We introduce the notion of a diagram category and discuss its application to the invariant theory of classical groups and super groups, with some indications concerning extensions…
Temperley-Lieb at roots of unity, a fusion category and the Jones quotient
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 . In this work, using cellular methods, we give explicit generat…
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…
Invariants of the orthosymplectic Lie superalgebra and super Pfaffians
G. I. Lehrer, R. B. Zhang
Given a complex orthosymplectic superspace , the orthosymplectic Lie superalgebra and general linear algebra both act naturally on the…
Generalised Jantzen filtration of Lie superalgebras II: the exceptional cases
Yucai Su, R. B. Zhang
Let be an exceptional Lie superalgebra, and let be the maximal parabolic subalgebra which contains the distinguished Borel subalgebra and has a purely even Levi subalgebra.…
Cellularity of certain quantum endomorphism algebras
H. H. Andersen, G. I. Lehrer, R. B. Zhang
We exhibit for all positive integers r, an explicit cellular structure for the endomorphism algebra of the r'th tensor power of an integral form of the Weyl module with highest wei…