Timeline for What are Harish-Chandra bimodules used for?
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Feb 24, 2020 at 7:02 | vote | accept | Yellow Pig | ||
Feb 7, 2020 at 8:05 | answer | added | Yellow Pig | timeline score: 11 | |
Feb 6, 2020 at 16:39 | comment | added | Yellow Pig | @SamGunningham Thanks a lot! So is there a notion of HC modules for more general algebras that are quantizations of symplectic resolutions? Or is there only a notion of HC bimodules which replaces it? Also, since you mentioned that there is a lot more to be said, can you hint what exactly that is? | |
Feb 6, 2020 at 16:32 | comment | added | Sam Gunningham | To answer your last question, Harish-Chandra bimodules for $\mathfrak g$ are $(\mathfrak g\times\mathfrak g,G)$-modules. So they are in particular the Harish-Chandra modules associated to representations of $G(\mathbb C)$ thought of as a real Lie group. But there is much more to be said... | |
Feb 6, 2020 at 16:31 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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Feb 6, 2020 at 16:03 | history | edited | Yellow Pig | CC BY-SA 4.0 |
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Feb 6, 2020 at 15:51 | history | edited | Yellow Pig | CC BY-SA 4.0 |
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Feb 6, 2020 at 15:43 | history | edited | Yellow Pig |
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Feb 6, 2020 at 15:34 | history | asked | Yellow Pig | CC BY-SA 4.0 |