Timeline for explicit projectors for tensor powers of irreducible representation
Current License: CC BY-SA 2.5
7 events
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| May 9, 2011 at 6:44 | comment | added | Pasha Zusmanovich | There are some nice tables of decompositions of tensor products of irreducible representations in: E.B. Vinberg and A.L. Onishchik, Seminar on Lie groups and algebraic groups, Springer, 1990 (?), but they probably contain only very partial data comparing with what you are interested in. | |
| Jan 14, 2011 at 19:08 | comment | added | Vít Tuček | I've rewritten my question. Since $\mathfrak{g}$ is more or less $V \otimes V^*$ with an invariant pairing I guess that this cannot be much different from the orthogonal case of the classical Schur-Weyl theory. | |
| Jan 14, 2011 at 19:04 | history | edited | Vít Tuček | CC BY-SA 2.5 |
added 321 characters in body
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| Jan 14, 2011 at 13:43 | history | edited | Vít Tuček | CC BY-SA 2.5 |
(hopefully) clarified the question
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| Jan 13, 2011 at 21:23 | comment | added | Ben Webster♦ | Also "Schur projectors" as a poor choice of name, since I think most people would use that to mean the projections onto the Schur functors en.wikipedia.org/wiki/Schur_functor which I don't think is what you mean, though you are actually a bit vague about what you mean. | |
| Jan 13, 2011 at 15:37 | comment | added | Jim Humphreys | Your last symbol looks confusing. If you are concerned about finite dimensional irreducible representations of compact Lie groups, these are essentially the "same" as the corresponding representations of complex groups. I'm not sure which $G$` you are interested in. | |
| Jan 13, 2011 at 14:40 | history | asked | Vít Tuček | CC BY-SA 2.5 |