Timeline for semisimple category with finite number of simple objects
Current License: CC BY-SA 3.0
3 events
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| Feb 6, 2014 at 14:28 | comment | added | Jim Humphreys | @Tobias: In prime characteristic, you get a fusion category for a semisimple algebraic group by looking only at simple modules with highest weights in the lowest $p$-alcove or its closure; but the product is a truncated version of the standard tensor product. Naturally these are not all possible simple modules for the group, but the formalism agrees well with the case of a quantum group at a root of unity. | |
| Feb 6, 2014 at 13:42 | comment | added | Tobias Kildetoft | Out of curiosity: Are the categories arising this way actually the categories of representations for some algebraic group (my guess would be usually not)? | |
| Feb 6, 2014 at 13:36 | history | answered | Jim Humphreys | CC BY-SA 3.0 |