scholarly journals The Center of Small Quantum Groups I: The Principal Block in Type A

2017 ◽  
Vol 2018 (20) ◽  
pp. 6349-6405 ◽  
Author(s):  
Anna Lachowska ◽  
You Qi
Keyword(s):  
Quantum Groups ◽  
Type A ◽  
Principal Block ◽  
Small Quantum

scholarly journals Remarks on the derived center of small quantum groups

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Anna Lachowska ◽  
You Qi
Keyword(s):  
Quantum Groups ◽  
Small Quantum

scholarly journals PBW-type filtration on quantum groups of type A

2016 ◽  
Vol 449 ◽  
pp. 321-345 ◽  
Author(s):  
Xin Fang ◽  
Ghislain Fourier ◽  
Markus Reineke
Keyword(s):  
Quantum Groups ◽  
Type A

scholarly journals Differential Hopf Algebras on Quantum Groups of Type A

1999 ◽  
Vol 214 (2) ◽  
pp. 479-518 ◽  
Author(s):  
Axel Schüler
Keyword(s):  
Quantum Groups ◽  
Hopf Algebras ◽  
Type A

scholarly journals Two Maps on Affine Type $A$ Crystals and Hecke Algebras

2021 ◽  
Vol 28 (2) ◽  
Author(s):  
Nicolas Jacon
Keyword(s):  
Representation Theory ◽  
Quantum Groups ◽  
Fock Space ◽  
Hecke Algebras ◽  
Type A ◽  
Crystal Basis ◽  
Affine Type

We use the crystal isomorphisms of the Fock space to describe two maps on partitions and multipartitions which naturally appear in the crystal basis theory for quantum groups in affine type $A$ and in the representation theory of Hecke algebras of type $G(l,l,n)$. 

scholarly journals The center of small quantum groups II: singular blocks

2018 ◽  
Vol 118 (3) ◽  
pp. 513-544 ◽  
Author(s):  
Anna Lachowska ◽  
You Qi
Keyword(s):  
Quantum Groups ◽  
Small Quantum

scholarly journals Localization of modules over small quantum groups

1996 ◽  
Vol 82 (1) ◽  
pp. 3127-3164
Author(s):  
M. Finkelberg ◽  
V. Schechtman
Keyword(s):  
Quantum Groups ◽  
Small Quantum
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