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math.RT2012
BGP-Reflection Functors and Lusztig's Symmetries of Modified Quantized Enveloping Algebras
Jie Xiao, Minghui Zhao
Let be the quantized enveloping algebra and its modified form. Lusztig gives some symmetries on and . Since the reali…
math.RT2012
A parameterization of the canonical bases of affine modified quantized enveloping algebras
Jie Xiao, Minghui Zhao
For symmetrizable Kac-Moody Lie algebra , Lusztig introduced the modified quantized enveloping algebra and its canonical basis in [12]. I…