Green, R. M. (1997) *Positivity properties for q-Schur algebras.* Mathematical Proceedings of the Cambridge Philosophical Society, 122 (3). pp. 401-414. ISSN 0305-0041

Official URL: http://dx.doi.org/10.1017/S0305004197001904

## Abstract

We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln). We also describe a family of subalgebras of the q-Schur algebra, each of which is spanned by the canonical basis elements it contains.

Item Type: | Article |
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Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |

Additional Information: | http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 122 (3), pp 401-414, 1997, © 1997 Cambridge University Press. |

Subjects: | Q Science > QA Mathematics |

Departments: | |

ID Code: | 19497 |

Deposited By: | ep_ss_importer |

Deposited On: | 12 Nov 2008 11:06 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 17 Dec 2017 02:46 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19497 |

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