On Arkhipov’s and Enright’s functorsSpringer Science and Business Media LLC - - 2004
Oleksandr Khomenko, Volodymyr Mazorchuk
We give a description of Arkhipov’s and (Joseph’s and Deodhar-Mathieu’s versions
of) Enright’s endofunctors on the category associated with a fixed triangular
decomposition of a complex finite-dimensional semi-simple Lie algebra, in terms
of (co)approximation functors with respect to suitably chosen injective (resp.
projective) modules. We establish some new connections between these functors,
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