## 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 |
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Original language | English |

Number of pages | 13 |

Journal | Transactions of the American Mathematical Society |

Volume | In press |

DOIs | |

Publication status | Published - 2008 |