Invariants of the half-liberated orthogonal group

Details Invariants of the half-liberated orthogonal group Invariants of the half-liberated orthogonal group

2009-02-16

arxiv.org/abs/0902.2719v2

Ann. Inst. Fourier 60 (2010), 2137-2164

Mathematics

Quantum Algebra

24 pages

Scientific paper

The half-liberated orthogonal group $O_n^*$ appears as intermediate quantum group between the orthogonal group $O_n$, and its free version $O_n^+$. We discuss here its basic algebraic properties, and we classify its irreducible representations. The classification of representations is done by using a certain twisting-type relation between $O_n^*$ and $U_n$, a non abelian discrete group playing the role of weight lattice for $O_n^*$, and a number of methods inspired from the theory of Lie algebras. We use these results for showing that the discrete quantum group dual to $O_n^*$ has polynomial growth.

Affiliated with

Also associated with

No associations

Rating

Invariants of the half-liberated orthogonal group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Invariants of the half-liberated orthogonal group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariants of the half-liberated orthogonal group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463480