Timeline for Realizing higher level Fock spaces
Current License: CC BY-SA 2.5
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| Oct 5, 2010 at 1:58 | comment | added | Peter Tingley | The papers I mentioned deal with generic $q$. I think one should be able to make sense of the construction at $q=1$ though. This is just because the formulas for the actions of $E_i$ and $F_i$ on the standard basis of Fock space make sense at $q=1$. See Theorem 2.1 in Uglov's paper. These seem to make sense at other roots of unity as well...although certainly the structure of the representation would be much much complicated in those cases. | |
| Oct 5, 2010 at 0:07 | comment | added | Oded Yacobi | Thanks! Does the higher level Fock space carry a rep of $U_{q}(\hat{\mathfrak{sl}}_{n})$ only for generic $q$, or also for $q=1$ or $q$ root of unity? | |
| Oct 4, 2010 at 22:51 | history | answered | Peter Tingley | CC BY-SA 2.5 |