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 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {V. K. Kharchenko},
     title = {Right coideal subalgebras of $U_q^+(\frak{so}_{2n+1})$},
     journal = {Journal of the European Mathematical Society},
     pages = {1677--1735},
     year = {2011},
     volume = {13},
     number = {6},
     doi = {10.4171/jems/291},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/291/}
}
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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

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