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Abstract
The combinatorial rank of the multiparameter version of the Lusztig small quantum group u q (𝔰𝔬2n+1) (the so called Frobenius–Lusztig kernel of type B n ) equals ⌊log 2(n − 1)⌋ +2 provided that q has a finite multiplicative order t > 4.
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ACKNOWLEDGMENTS
The authors were supported by PACIVE of the FES-Cuautitlán UNAM, project GC-19. The first author was supported by FAPESP (Brazil), grant 2010/51952-3, responsible professor I.P. Shestakov, Institute of Mathematics and Statistics of the University of Sao Paulo, Brazil.
Notes
1Here ⌊a⌋ is the biggest integer less than or equal to a. In [Citation5], confusingly the symbol ⌈ a ⌉ is used instead.
Communicated by L. Rowen.
To our beautiful Miriam Cohen.