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arxiv: 1403.0063 · v1 · pith:ZPWOLYRYnew · submitted 2014-03-01 · 🧮 math.RT

Restricted Kac modules of Hamiltonian Lie superalgebras of odd type

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keywords restrictedmoduleshamiltoniansuperalgebrastypeaimsalgebraicallycharacteristic
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This paper aims to describe the restricted Kac modules of restricted Hamiltonian Lie superalgebras of odd type over an algebraically closed field of characteristic $p>3$. In particular, a sufficient and necessary condition for the restricted Kac modules to be irreducible is given in terms of typical weights.

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