scholarly journals Canonical bases arising from quantized enveloping algebras

1990 ◽  
Vol 3 (2) ◽  
pp. 447-447 ◽  
Author(s):  
G. Lusztig
Keyword(s):  
Canonical Bases ◽  
Enveloping Algebras ◽  
Quantized Enveloping Algebras

scholarly journals Cones from quantum groups to tropical flag varieties

2021 ◽  
Author(s):  
Xin Fang ◽  
Ghislain Fourier ◽  
Markus Reineke
Keyword(s):  
Quantum Groups ◽  
Flag Varieties ◽  
Quiver Representations ◽  
Canonical Bases ◽  
Enveloping Algebras ◽  
Quantized Enveloping Algebras

AbstractWe relate quantum degree cones, parametrizing PBW degenerations of quantized enveloping algebras, to (negative tight monomial) cones introduced by Lusztig in the study of monomials in canonical bases, to K-theoretic cones for quiver representations, and to some maximal prime cones in tropical flag varieties.

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