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Results tagged with category-o
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Questions related to the Bernstein-Gelfand-Gelfand category O and generalizations
4
votes
2
answers
787
views
What are the "tensor-closed" object of the BGG category $\mathcal{O}$ of a semisimple Lie al...
Let $\mathfrak{g}$ be a finite dimensional complex semisimple Lie algebra and we can consider its BGG category $\mathcal{O}$. It is well-known that $\mathcal{O}$ is not closed under tensor product, i. …
- 44.7k
10
votes
3
answers
632
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Is the tensor product of two infinite dimensional objects in the BGG category $\mathcal{O}$ ...
Let $\mathfrak{g}$ be a finite dimensional complex semisimple Lie algebra (according to a comment of Victor Ostrik, we need to further require that $\mathfrak{g}$ is simple) and we can consider its BG …
- 8,866