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Positivity properties for q-Schur algebras.

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Positivity properties for q-Schur algebras. / Green, R. M.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 122, No. 3, 11.1997, p. 401-414.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Green, RM 1997, 'Positivity properties for q-Schur algebras.', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 122, no. 3, pp. 401-414. https://doi.org/10.1017/S0305004197001904

APA

Green, R. M. (1997). Positivity properties for q-Schur algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 122(3), 401-414. https://doi.org/10.1017/S0305004197001904

Vancouver

Green RM. Positivity properties for q-Schur algebras. Mathematical Proceedings of the Cambridge Philosophical Society. 1997 Nov;122(3):401-414. doi: 10.1017/S0305004197001904

Author

Green, R. M. / Positivity properties for q-Schur algebras. In: Mathematical Proceedings of the Cambridge Philosophical Society. 1997 ; Vol. 122, No. 3. pp. 401-414.

Bibtex

@article{2154f5af283b40e99a20b647fe370c2d,
title = "Positivity properties for q-Schur algebras.",
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.",
author = "Green, {R. M.}",
note = "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, {\textcopyright} 1997 Cambridge University Press.",
year = "1997",
month = nov,
doi = "10.1017/S0305004197001904",
language = "English",
volume = "122",
pages = "401--414",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Positivity properties for q-Schur algebras.

AU - Green, R. M.

N1 - 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.

PY - 1997/11

Y1 - 1997/11

N2 - 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.

AB - 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.

U2 - 10.1017/S0305004197001904

DO - 10.1017/S0305004197001904

M3 - Journal article

VL - 122

SP - 401

EP - 414

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -