Timeline for Are there "unsociable" irreps? (Definition inside)
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 15, 2012 at 20:36 | comment | added | Jim Humphreys | @Benjamin: Excellent solutions (but the question won't be on the exam). | |
| Aug 14, 2012 at 18:58 | comment | added | Benjamin Steinberg | Solution 1 to exercise: mathoverflow.net/questions/10126/… Solution 2: mathoverflow.net/questions/18194/… | |
| Aug 14, 2012 at 18:34 | comment | added | Benjamin Steinberg | @Jim, M. A. Rieffel, Burnside’s theorem for representations of Hopf algebras, J. Algebra 6 (1967), 123–130 proves the analog for finite dimensional bialgebras. Both Steinberg and Rieffel work over any characteristic because they don't rely on characters. Steinberg really proved his result for semigroups (not necessarily finite). He showed if V is a faithful module for the semigroup S, then the tensor algebra of V is faithful for the semigroup algebra of S. If S is finite one immeiately deduces each irreducible is a constituent of a tensor power. | |
| Aug 14, 2012 at 18:04 | history | answered | Jim Humphreys | CC BY-SA 3.0 |