A bideterminant basis for a reductive monoid

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A bideterminant basis for a reductive monoid. / Tange, Rudolf.

In: Journal of Pure and Applied Algebra, Vol. 216, No. 5, 05.2012, p. 1207-1221.

Research output: Contribution to journalArticlepeer-review

Harvard

Tange, R 2012, 'A bideterminant basis for a reductive monoid', Journal of Pure and Applied Algebra, vol. 216, no. 5, pp. 1207-1221. https://doi.org/10.1016/j.jpaa.2011.10.029

APA

Tange, R. (2012). A bideterminant basis for a reductive monoid. Journal of Pure and Applied Algebra, 216(5), 1207-1221. https://doi.org/10.1016/j.jpaa.2011.10.029

Vancouver

Tange R. A bideterminant basis for a reductive monoid. Journal of Pure and Applied Algebra. 2012 May;216(5):1207-1221. https://doi.org/10.1016/j.jpaa.2011.10.029

Author

Tange, Rudolf. / A bideterminant basis for a reductive monoid. In: Journal of Pure and Applied Algebra. 2012 ; Vol. 216, No. 5. pp. 1207-1221.

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title = "A bideterminant basis for a reductive monoid",
abstract = "We use the rational tableaux introduced by Stembridge to give a bideterminant basis for a normal reductive monoid and for its variety of noninvertible elements. We also obtain a bideterminant basis for the full coordinate ring of the general linear group and for all its truncations with respect to saturated sets. Finally, we deduce an alternative proof of the double centraliser theorem for the rational Schur algebra and the walled Brauer algebra over an arbitrary infinite base field which was first obtained by Dipper, Doty and Stoll. (C) 2011 Elsevier B.V. All rights reserved.",
author = "Rudolf Tange",
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pages = "1207--1221",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
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RIS (suitable for import to EndNote) - Download

TY - JOUR

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AU - Tange, Rudolf

PY - 2012/5

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N2 - We use the rational tableaux introduced by Stembridge to give a bideterminant basis for a normal reductive monoid and for its variety of noninvertible elements. We also obtain a bideterminant basis for the full coordinate ring of the general linear group and for all its truncations with respect to saturated sets. Finally, we deduce an alternative proof of the double centraliser theorem for the rational Schur algebra and the walled Brauer algebra over an arbitrary infinite base field which was first obtained by Dipper, Doty and Stoll. (C) 2011 Elsevier B.V. All rights reserved.

AB - We use the rational tableaux introduced by Stembridge to give a bideterminant basis for a normal reductive monoid and for its variety of noninvertible elements. We also obtain a bideterminant basis for the full coordinate ring of the general linear group and for all its truncations with respect to saturated sets. Finally, we deduce an alternative proof of the double centraliser theorem for the rational Schur algebra and the walled Brauer algebra over an arbitrary infinite base field which was first obtained by Dipper, Doty and Stoll. (C) 2011 Elsevier B.V. All rights reserved.

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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ER -