Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid

• Published in: Israel journal of mathematics Vol. 197; no. 1; pp. 139 - 187
• Main Authors: Heckenberger, István, Schneider, Hans-Jürgen
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.10.2013
• Subjects: Algebra; Analysis; Applications of Mathematics; Group Theory and Generalizations; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Theoretical; Hilbert Series; Drinfeld Module; Quantum Group; Hopf Algebra; Weyl Group

We study graded right coideal subalgebras of Nichols algebras of semisimple Yetter-Drinfeld modules. Assuming that the Yetter-Drinfeld module admits all reflections and the Nichols algebra is decomposable, we construct an injective order preserving and order reflecting map between morphisms of the W...