On dynamical adjoint functor

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

10.1007/s10485-011-9272-1

We give an explicit formula relating the dynamical adjoint functor and
dynamical twist over nonalbelian base to the invariant pairing on parabolic
Verma modules. As an illustration, we give explicit $U(sl(n))$- and
$U_\hbar(sl(n))$-invariant star product on projective spaces.

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