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تسجيل مستخدم جديدAlgebras over Cobar(coFrob)
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We show that a square zero, degree one element in W(V), the Weyl algebra on a vector space V, is equivalent to providing V with the structure of an algebra over the properad Cobar(coFrob), the properad arising from the cobar construction applied to the cofrobenius coproperad.
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We show that except in several cases conjugacy classes of classical Weyl groups $W(B_n)$ and $W(D_n)$ are of type {rm D}. We prove that except in three cases Nichols algebras of irreducible Yetter-Drinfeld ({rm YD} in short )modules over the classical Weyl groups are infinite dimensional.
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