On pointed Hopf algebras associated with the symmetric groups

Mathematics – Quantum Algebra

Scientific paper

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14 pages; typos added in abstract

Scientific paper

It is an important open problem whether the dimension of the Nichols algebra
B(O,\rho) is finite when O is the class of the transpositions and \rho is the
sign representation, with m>= 6. In the present paper, we discard most of the
other conjugacy classes showing that very few pairs (O,\rho) might give rise to
finite-dimensional Nichols algebras.

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