Right coideal subalgebras of $U_q^{+}\left({\mathrm{𝔰𝔬}}_{2n+1}\right)$

Kharchenko, V. K.. "Right coideal subalgebras of $U_q^+(\mathfrak {so}_{2n+1})$." Journal of the European Mathematical Society 013.6 (2011): 1677-1735. <http://eudml.org/doc/277549>.

@article{Kharchenko2011,
abstract = {We give a complete classification of right coideal subalgebras that contain all grouplike elements for the quantum group $U_q^+(\mathfrak \{so\}_\{2n+1\})$ 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 Frobenius–Lusztig kernel $u_q^+(\mathfrak \{so\}_\{2n+1\})$. In particular, 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 $B_n$.},
author = {Kharchenko, V. K.},
journal = {Journal of the European Mathematical Society},
keywords = {coideal subalgebra; Hopf algebra; PBW-basis; coideal subalgebras; Hopf algebras; quantum groups; PBW basis; Frobenius kernels},
language = {eng},
number = {6},
pages = {1677-1735},
publisher = {European Mathematical Society Publishing House},
title = {Right coideal subalgebras of $U_q^+(\mathfrak \{so\}_\{2n+1\})$},
url = {http://eudml.org/doc/277549},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Kharchenko, V. K.
TI - Right coideal subalgebras of $U_q^+(\mathfrak {so}_{2n+1})$
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 6
SP - 1677
EP - 1735
AB - We give a complete classification of right coideal subalgebras that contain all grouplike elements for the quantum group $U_q^+(\mathfrak {so}_{2n+1})$ 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 Frobenius–Lusztig kernel $u_q^+(\mathfrak {so}_{2n+1})$. In particular, 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 $B_n$.
LA - eng
KW - coideal subalgebra; Hopf algebra; PBW-basis; coideal subalgebras; Hopf algebras; quantum groups; PBW basis; Frobenius kernels
UR - http://eudml.org/doc/277549
ER -