Research output: Contribution to journal › Article › peer-review

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

Research output: Contribution to journal › Article › peer-review

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

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

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

@article{90bb3ba625ea4b6c89a1b580b7394bb6,

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",

year = "2012",

month = may,

doi = "10.1016/j.jpaa.2011.10.029",

language = "English",

volume = "216",

pages = "1207--1221",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - A bideterminant basis for a reductive monoid

AU - Tange, Rudolf

PY - 2012/5

Y1 - 2012/5

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.

UR - http://www.scopus.com/inward/record.url?scp=84855835593&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2011.10.029

DO - 10.1016/j.jpaa.2011.10.029

M3 - Article

VL - 216

SP - 1207

EP - 1221

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 5

ER -