FRT construction in the case of super algebras - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T18:30:36Z http://mathoverflow.net/feeds/question/114976 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/114976/frt-construction-in-the-case-of-super-algebras FRT construction in the case of super algebras kieffer 2012-11-30T13:35:24Z 2012-11-30T13:42:51Z <p>I'm looking on papers which are talking about the super quantum algebra osp(2|1). I want to understand how one applies the FRT construction in the case of osp(2|1). Of course there is a super permutation $P$, but if I'm right, taking a matrix $T$ whose entries represent the generators of an algebra of functions $A$ on a formal super-group and the universal $R$-matrix of the quantum superalgebra osp(2|1) and writing down the equation $$PR(T\otimes T)=(T\otimes T)PR,$$ I should find the relations defining $A$. Now, looking what happens when the quantum parameter $q$ of $R$ goes to $1$, I should find the commutation relations between the entries of a matrix in $OSp(2|1)$, but it is not so. So my question is : are there other sign contributions in the equation$$PR(T\otimes T)=(T\otimes T)PR$$ as those coming from $P$ ?</p>