scholarly journals Canonical bases for fundamental modules of quantized enveloping algebras of type a

1997 ◽  
Vol 25 (5) ◽  
pp. 1365-1386 ◽  
Author(s):  
Robert Marsh
Keyword(s):  
Type A ◽  
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.

scholarly journals Combinatorics of canonical bases revisited: type A

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Volker Genz ◽  
Gleb Koshevoy ◽  
Bea Schumann
Keyword(s):  
Type A ◽  
Canonical Bases
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