Abstract
We give combinatorial descriptions of some coefficients of the canonical basis of the q-deformed Fock space representation and of some matrix entries for the action of the Chevellay generators with respect to the canonical basis. These calculations are q-analogues of results of Kleshchev on decomposition numbers and branching coefficients for symmetric groups and Schur algebras.
| Translated title of the contribution | Kleshchev's decomposition numbers and branching coefficients in the Fock space |
|---|---|
| Original language | English |
| Number of pages | 13 |
| Journal | Transactions of the American Mathematical Society |
| Volume | In press |
| DOIs | |
| Publication status | Published - 2008 |