A triangular quantum deformation of osp(2/1) from the classical r-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and tensor operators are considered for the deformed osp(2/1). It is also shown that its subalgebra generated by the Borel subalgebra is self-dual.

We study the induction and restriction functor from a Hopf subalgebra of a semisimple Hopf algebra. The image of the induction functor is described when the Hopf subalgebra is normal. In this situation, at the level of characters this image is isomorphic to the image of the restriction functor. A criterion for subcoalgebras to be invariant under the adjoint action is given generalizing Masuoka’...

Recently, Brzezi\'nski, Koenig and K\"ulshammer have introduced the notion of normal exact Borel subalgebra a quasihereditary algebra. They shown that there exists one-to-one correspondence between directed bocses algebras with homological subalgebra. In this short note, we prove every is automatically normal. As corollary, conclude bocs has group-like element. These results simplify K\"ulshamm...

It is introduced an analogue of the orbit-breaking subalgebra for case free flows on locally compact metric spaces, which has a natural approximate structure in terms fixed point and any nested sequence central slices around this point. shown that minimal admitting Cantor slice, resulting $$C^*$$ -algebra stabilization Putnam associated to induced homeomorphism slice. This construction provides...