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4 papers · 2 filters
Discriminants of Brauer algebras
Hebing Rui, Mei Si
In this paper, we compute the discriminant of the Gram matrix associated to each cell module of the Brauer algebra $\cba{n}$. Theoretically, we know when a cell module of $\cba{n}$…
Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis
Xiaotang Bai, Naihong Hu
The presentation of two-parameter quantum groups of type E-series in the sense of Benkart-Witherspoon [BW1] is given, which has a Drinfel'd quantum double structure. The universal…
A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras
Naihong Hu, Yufeng Pei, Dong Liu
Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given based on Corollary…
Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case
Naihong Hu, Xiuling Wang
We quantize the generalized-Witt algebra in characteristic 0 with its Lie bialgebra structures discovered by Song-Su (\cite{GY}). Via a modulo p reduction and a modulo "p-restricte…