On the Primitivity of Hopf Algebras over a Field with Prime Characteristic

نویسنده

  • EDWARD HALPERN
چکیده

(1.2) PV~V where p is defined by p(s, t) = (t, s), (s, tET). We shall assume throughout that T is arcwise connected. Let 77 be an associative and anticommutative graded if-algebra with unit 1, where ii is a field. We assume throughout that 77'= 0 if i<0, and 77° = 7C-1. Let 77+ denote the submodule spanned by the elements of positive degree. 77 is a Hopf algebra over K if there is an algebra homomorphism A: 77—>77®77 (regarding 77®77 as a graded 7£-algebra in the usual way) such that A"(x) = A(x) A'(x) EH+ ® H+, xE 77, where A': 77—>77®77 is defined by A'(l) = 1 ® 1, A'(x) = x ® 1 + 1 ® x, x E 77+.

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تاریخ انتشار 2010