10.1090/S0002-9947-07-04202-XTransactions of the American Mathematical Society36031179-119

Chuang, J.

Miyachi, H.

Tan, K. M.

English

Joseph Chuang

Hyohe Miyachi

Kai Meng Tan

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Kleshchev's decomposition numbers and branching coefficients in the Fock space

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.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

Kleshchev's decomposition numbers and branching coefficients in the Fock space

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