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

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

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Publisher: American Mathematical Society

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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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title = "Kleshchev's decomposition numbers and branching coefficients in the Fock space",

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 - Chuang, J

AU - Tan, KM

AU - Miyachi, H

N1 - Publisher: American Mathematical Society

PY - 2008

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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)

SN - 1088-6850

VL - In press

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

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

Abstract

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