Geodesic
Right coideal subalgebras of $U_q^+(\frak{so}_{2n+1})$
Journal of the European Mathematical Society, Tome 13 (2011) no. 6, pp. 1677-1735.

Voir la notice de l'article provenant de la source EMS Press

We give a complete classification of right coideal subalgebras that contain all grouplike elements for the quantum group Uq+​(so2n+1​), provided that q is not a root of 1. If q has a finite multiplicative order t>4, this classification remains valid for homogeneous right coideal subalgebras of the small Lusztig quantum group uq+​(so2n+1​). Consequently, we determine that the total number of right coideal subalgebras that contain the coradical equals (2n)!!, the order of the Weyl group defined by the root system of type Bn​.
DOI : 10.4171/jems/291
Classification : 16-XX, 00-XX, 17-XX
Keywords: Coideal subalgebra, Hopf algebra, PBW-basis 
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     title = {Right coideal subalgebras of $U_q^+(\frak{so}_{2n+1})$},
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V. K. Kharchenko. Right coideal subalgebras of $U_q^+(\frak{so}_{2n+1})$. Journal of the European Mathematical Society, Tome 13 (2011) no. 6, pp. 1677-1735. doi : 10.4171/jems/291. http://geodesic.mathdoc.fr/articles/10.4171/jems/291/

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