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THE GROUP OF BI-GALOIS OBJECTS OVER THE COORDINATE ALGEBRA OF THE FROBENIUS–LUSZTIG KERNEL OF SL(2)

Part of: Categories with structure Hopf algebras, quantum groups and related topics

Published online by Cambridge University Press:  21 July 2015

JULIEN BICHON
JULIEN BICHON*
Affiliation:
Laboratoire de Mathématiques, Université Blaise Pascal, Complexe universitaire des Cézeaux, 63171 Aubière Cedex, France e-mail: Julien.Bichon@math.univ-bpclermont.fr
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Abstract

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We construct, for q a root of unity of odd order, an embedding of the projective special linear group PSL(n) into the group of bi-Galois objects over uq(sl(n))*, the coordinate algebra of the Frobenius–Lusztig kernel of SL(n), which is shown to be an isomorphism at n=2.

MSC classification

Primary: 16T05: Hopf algebras and their applications
Secondary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 3 , September 2016 , pp. 727 - 738
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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