Timeline for irreducibility of exterior powers
Current License: CC BY-SA 3.0
7 events
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Nov 19, 2013 at 18:47 | comment | added | Jim Humphreys | @Igor: For an arbitrary subgroup $H$ I'm skeptical about finding a decent characterization, but maybe it's reasonable for more restrictive classes of groups. Certainly there are problems with some of the classical linear groups, but not others; so a characterization would have to be rather subtle even over a field of characteristic 0. | |
Nov 19, 2013 at 18:17 | comment | added | David E Speyer | An example is $S^n$ acting on $n$-tuples of numbers that sum to $0$, over any characteristic zero field. | |
Nov 19, 2013 at 18:11 | comment | added | David E Speyer | Related mathoverflow.net/questions/32401 | |
Nov 19, 2013 at 16:42 | history | edited | Igor Rivin | CC BY-SA 3.0 |
fixed language
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Nov 19, 2013 at 16:42 | comment | added | Igor Rivin | @NoahSnyder Yes, that's correct. | |
Nov 19, 2013 at 16:40 | comment | added | Noah Snyder | Do you mean such that H acts irreducibly on all exterior powers of V? | |
Nov 19, 2013 at 16:37 | history | asked | Igor Rivin | CC BY-SA 3.0 |