JournalsjemsVol. 13, No. 6pp. 1677–1735

Right coideal subalgebras of <em>U<sub>q</sub></em><sup>+</sup> (<strong>s</strong><em>o</em><sub>2<em>n</em>+1</sub>)

  • V. K. Kharchenko

    Universidad Nacional Autonoma de México, Cuautitlán Izcalli, Mexico
Right coideal subalgebras of <em>U<sub>q</sub></em><sup>+</sup> (<strong>s</strong><em>o</em><sub>2<em>n</em>+1</sub>) cover
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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),U_q^+(\frak{so}_{2n+1}), provided that qq is not a root of 1. If qq has a finite multiplicative order t>4,t>4, this classification remains valid for homogeneous right coideal subalgebras of the small Lusztig quantum group uq+(so2n+1).u_q^+(\frak{ so}_{2n+1}). Consequently, we determine that the total number of right coideal subalgebras that contain the coradical equals (2n)!!,(2n)!!, the order of the Weyl group defined by the root system of type Bn.B_n.

Cite this article

V. K. Kharchenko, Right coideal subalgebras of <em>U<sub>q</sub></em><sup>+</sup> (<strong>s</strong><em>o</em><sub>2<em>n</em>+1</sub>). J. Eur. Math. Soc. 13 (2011), no. 6, pp. 1677–1735

DOI 10.4171/JEMS/291