All Questions
Tagged with primitive-ideal rt.representation-theory
3 questions
12
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Two-sided cells, special nilpotent orbits and special representations
Let $\mathfrak{g}$ be a complex semisimple Lie algebra. This question concerns three classical objects of representation theory: the two-sided Kazhdan-Lusztig cells of the Weyl group $W$ of $\mathfrak{...
2
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Explicit example of prime ideal not an intersection of maximal ideals, in universal enveloping algebra
Let $A$ be a $\mathbb k$-algebra. If $A$ is affine commutative, by Nullstellensatz, then every prime ideal of $A$ is an intersection of maximal ideals.
To justify the notion of being primitive in ...
9
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Status of Borho and Brylinski's irreducibility conjectures?
In Differential Operators on Homogeneous Spaces, III, Section 6.7, Borho and Brylinski make a long series of equivalent conjectures which they show are all equivalent. Perhaps the easiest statement ...