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Questions related to the Bernstein-Gelfand-Gelfand category O and generalizations
3
votes
Is the tensor product of two infinite dimensional objects in the BGG category $\mathcal{O}$ ...
Edit: As @ZhaotingWei points out this is wrong. In fact, in my example we seem to have $M\simeq \bigoplus_{n=4}^\infty \Delta(-n\rho)$ which is certainly not in $\mathcal{O}$.
Inspired by @VictorOstr …