Some Homological Properties of Category š¯’Ŗ, V
Some Homological Properties of Category š¯’Ŗ, V
Abstract We compute projective dimension of translated simple modules in the regular block of the Bernsteinā€“Gelfandā€“Gelfand category $\mathcal{O}$ in terms of Kazhdanā€“Lusztig combinatorics. This allows us to determine which projectives can appear at the last step of a minimal projective resolution for a translated simple module, confirming a conjecture by ā€¦