Mathematics – Quantum Algebra
Scientific paper
2008-07-15
Manuscripta Math., Vol. 128, N. 3 (March 2009). Pages 359-371
Mathematics
Quantum Algebra
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.
Andruskiewitsch Nicolás
Fantino Fernando
Zhang Shouchuan
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