## Kleshchev’s decomposition numbers and branching coefficients in the Fock space

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- by Joseph Chuang, Hyohe Miyachi and Kai Meng Tan PDF
- Trans. Amer. Math. Soc.
**360**(2008), 1179-1191 Request permission

## Abstract:

We give combinatorial descriptions of some coefficients of the canonical basis of the $q$-deformed Fock space representation of $U_q(\widehat {\mathfrak {sl}}_e)$ and of some matrix entries for the action of the Chevalley generators $f_r$ with respect to the canonical basis. These are $q$-analogues of results of Kleshchev on decomposition numbers and branching coefficients for symmetric groups and Schur algebras.## References

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## Additional Information

**Joseph Chuang**- Affiliation: Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
- Email: joseph.chuang@bris.ac.uk
**Hyohe Miyachi**- Affiliation: Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
- MR Author ID: 649846
- Email: miyachi@math.nagoya-u.ac.jp
**Kai Meng Tan**- Affiliation: Department of Mathematics, National University of Singapore, 2, Science Drive 2, Singapore 117543
- MR Author ID: 656415
- Email: tankm@nus.edu.sg
- Received by editor(s): July 23, 2005
- Published electronically: October 2, 2007
- © Copyright 2007 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**360**(2008), 1179-1191 - MSC (2000): Primary 17B37; Secondary 20C08
- DOI: https://doi.org/10.1090/S0002-9947-07-04202-X
- MathSciNet review: 2357693