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2 votes

Braidings for Comodules of Co-quasi-triangular Hopf algebra

If $c:V\otimes V\to V\otimes V$ is a braiding on a finite dimensional vector space $V$ then $A=A(V,c)$, the FRT construction (equal to the free algebra on symbols $t_i^j$, $i,j=1,\dots\dim V$, modulo …
Marco Farinati's user avatar
1 vote

Morita equivalent algebras in a fusion category

in the algebra case, B=eMn(A)e "because" B=End_A (P) with P f.g. proyective, so, finding e is the same as give a presentation of P as a direct summand of A^n. Also, P=F(B) where F is the functor givin …
Marco Farinati's user avatar
2 votes

How well is the classification of low-dimensional semisimple Hopf superalgebras (or braided ...

If H is a Hopf super algebra then $H\#k[\mathbb Z_2]$ is an ordinary Hopf algebra. So, with some work, one should get the classification up to dim 30 from the classification of ordinary Hopf algebras …
Marco Farinati's user avatar