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

J Chuang; KM Tan; H Miyachi

doi:10.1090/S0002-9947-07-04202-X

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

J Chuang, KM Tan, H Miyachi

The University of Bristol

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

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	https://doi.org/10.1090/S0002-9947-07-04202-X
Publication status	Published - 2008

Bibliographical note

Publisher: American Mathematical Society

Access to Document

10.1090/S0002-9947-07-04202-X

http://www.ams.org/tran/0000-000-00/S0002-9947-07-04202-X/S0002-9947-07-04202-X.pdf

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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.",

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AU - Tan, KM

AU - Miyachi, H

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N2 - 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.

AB - 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.

U2 - 10.1090/S0002-9947-07-04202-X

DO - 10.1090/S0002-9947-07-04202-X

M3 - Article (Academic Journal)

VL - In press

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

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