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6 papers · 1 filter
Diagram automorphisms and canonical bases for quantum affine algebras
Toshiaki Shoji, Zhiping Zhou
Let be the negative part of the quantum enveloping algebra associated to a simply laced Kac-Moody Lie algebra , and the…
Affine walled Brauer-Clifford superalgebras
Mengmeng Gao, Hebing Rui, Linliang Song +1
In this paper, a notion of affine walled Brauer-Clifford superalgebras is introduced over an arbitrary integral domain containing . These superal…
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras
Qiufan Chen, Jianzhi Han, Yucai Su
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular,the derivation algebras, the aut…
BLM realization for Frobenius--Lusztig Kernels of type A
Qiang Fu
The infinitesimal quantum was realized in \cite[§6]{BLM}. We will realize Frobenius--Lusztig Kernels of type in this paper.
Integral affine Schur-Weyl reciprocity
Qiang Fu
Let be the double Ringel--Hall algebra of the cyclic quiver and let …
A Double Hall Algebra Approach to Affine Quantum Schur--Weyl Theory
Bangming Deng, Jie Du, Qiang Fu
We investigate the structure of the double Ringel-Hall algebras associated with cyclic quivers and its connections with quantum loop algebras of , affine quantum S…