Right coideal subalgebras of

  • V. K. Kharchenko

    Universidad Nacional Autonoma de México, Cuautitlán Izcalli, Mexico


We give a complete classification of right coideal subalgebras that contain all grouplike elements for the quantum group provided that is not a root of 1. If has a finite multiplicative order this classification remains valid for homogeneous right coideal subalgebras of the small Lusztig quantum group Consequently, we determine that the total number of right coideal subalgebras that contain the coradical equals the order of the Weyl group defined by the root system of type

Cite this article

V. K. Kharchenko, Right coideal subalgebras of . J. Eur. Math. Soc. 13 (2011), no. 6, pp. 1677–1735

DOI 10.4171/JEMS/291