Abstract
In this work we explicitly calculate all the right coideal subalgebras of the Hopf algebra which is the bosonization of the Fomin–Kirillov algebra over the symmetric group First we consider the case of right coideal subalgebras containing the coradical Then we also describe the objects that do not contain the coradical, completing the classification.
Acknowledgments
We thank Nicolás Andruskiewitsch for interesting discussions on this topic. We also thank him for his constant support and motivation.