On pointed Hopf algebras associated to unmixed conjugacy classes in S_n

Details On pointed Hopf algebras associated to unmixed conjugacy classes in S_n On pointed Hopf algebras associated to unmixed conjugacy classes in S_n

2006-08-28

arxiv.org/abs/math/0608701v1

J. Math. Phys. 48, 033502 (2007) (26 pages)

Mathematics

Quantum Algebra

Scientific paper

10.1063/1.2436730

Let s in S_n be a product of disjoint cycles of the same length, C the
conjugacy class of s and rho an irreducible representation of the isotropy
group of s. We prove that either the Nichols algebra B(C, rho) is
infinite-dimensional, or the braiding of the Yetter-Drinfeld module is
negative.

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