Representations of Semisimple Lie Algebras in Positive Characteristic and Quantum Groups at Roots of Unity

2002 ◽  
pp. 149-167 ◽  
Author(s):  
Iain Gordon
Keyword(s):  
Lie Algebras ◽  
Quantum Groups ◽  
Positive Characteristic ◽  
Roots Of Unity ◽  
Semisimple Lie Algebras

THE CENTER OF THE COORDINATE ALGEBRAS OF QUANTUM GROUPS AT pα-th ROOTS OF UNITY

1993 ◽  
Vol 07 (20n21) ◽  
pp. 3547-3550
Author(s):  
BENJAMIN ENRIQUEZ
Keyword(s):  
Quantum Groups ◽  
Roots Of Unity

The coordinate algebras of quantum groups at pα-th roots of unity are finite modules over their centers, at least in a suitable completed sense (cf. [E]). We describe their centers in the completed case, and deduce from this the centers of the non-completed algebras. As in the [dCKP] situation, it is generated by its “Poisson” and “Frobenius” parts.

Semisimple Lie Algebras of Operators

2001 ◽  
pp. 181-202
Author(s):  
Daniel Beltiţă ◽  
Mihai Şabac
Keyword(s):  
Lie Algebras ◽  
Semisimple Lie Algebras

Semisimple Lie Algebras

2020 ◽  
pp. 71-134
Author(s):  
Morikuni Goto ◽  
Frank D. Grosshans
Keyword(s):  
Lie Algebras ◽  
Semisimple Lie Algebras

Glider representations of a chain of semisimple Lie algebras

2019 ◽  
pp. 153-178
Author(s):  
Frederik Caenepeel ◽  
Fred Van Oystaeyen
Keyword(s):  
Lie Algebras ◽  
Semisimple Lie Algebras ◽  
A Chain

scholarly journals The nodal cubic and quantum groups at roots of unity

2020 ◽  
Vol 14 (2) ◽  
pp. 667-680
Author(s):  
Ulrich Krähmer ◽  
Manuel Martins
Keyword(s):  
Quantum Groups ◽  
Roots Of Unity
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