2019Communications in AlgebraRequires access

Hochschild cohomology of U(sl2)

Matthew Towers

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Abstract

Let k be an algebraically closed field of characteristic p > 2. We determine the Hochschild cohomology of U(sl2(k)) and the invariants of sl2(k) and SL2(k) in the adjoint action on the divided power algebra D(sl2(k)).

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Let k be an algebraically closed field of characteristic p > 2. We determine the Hochschild cohomology of U(sl2(k)) and the invariants of sl2(k) and SL2(k) in the adjoint action on the divided power algebra D(sl2(k)).

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Available abstract

Let k be an algebraically closed field of characteristic p > 2. We determine the Hochschild cohomology of U(sl2(k)) and the invariants of sl2(k) and SL2(k) in the adjoint action on the divided power algebra D(sl2(k)).

Key concepts: SL2(R), Mathematics, Algebraically closed field, Cohomology, Pure mathematics, Action (physics), Field (mathematics), Algebra over a field

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