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Abstract
Consider the algebra R = ℂ[A,B,H] subject to relations
where and
. We study these algebras for different f and ç. We study highest weight modules and finite dimensional simple modules. We introduce the categories
p
with p ≥ 1, with an interesting decomposition in categories
p
I
and
p
II
. We also consider the BGG-category
and develop new techniques towards the study of
.