Timeline for Product of conjugacy classes - is there an analog of Tanaka-Krein reconstruction ?
Current License: CC BY-SA 3.0
8 events
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| Oct 28, 2012 at 23:39 | history | edited | Will Sawin | CC BY-SA 3.0 |
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| Oct 28, 2012 at 23:39 | comment | added | Will Sawin | I edited this to answer the second part of the first question. | |
| Oct 28, 2012 at 22:51 | history | edited | Will Sawin | CC BY-SA 3.0 |
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| Oct 28, 2012 at 18:52 | comment | added | Alexander Chervov | Ahhh, I misread - I thought you mean: conjuagacy class = irrep + number... | |
| Oct 28, 2012 at 18:43 | comment | added | Will Sawin | Functions from the set of irreducible representations to $\mathbb C$ | |
| Oct 28, 2012 at 18:42 | comment | added | Will Sawin | That ring is the center of the group algebra, which has a basis of idempotents, one for each irrep. Write an element in terms of this basis to identify the ring with the ring of functions $\\{irreps\\} \to \mathbb C$, aka column vectors, with entrywise addition and multiplication. | |
| Oct 28, 2012 at 16:51 | comment | added | Alexander Chervov | @Will, honestly speaking I do not fully understand your answer, may be just bad day for me. What you mean by "First note that the ring of conjugacy classes tensored with C can be identified with assignments of a number to each irrep" | |
| Oct 27, 2012 at 21:49 | history | answered | Will Sawin | CC BY-SA 3.0 |