Home > Research > Publications & Outputs > Hyperoctahedral Schur algebras.

Research

Links

Text available via DOI:

View graph of relations

Hyperoctahedral Schur algebras.

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

Published

Standard

Hyperoctahedral Schur algebras. / Green, R. M.
In: Journal of Algebra, Vol. 192, No. 1, 1997, p. 418-438.

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

Harvard

Green, RM 1997, 'Hyperoctahedral Schur algebras.', Journal of Algebra, vol. 192, no. 1, pp. 418-438. https://doi.org/10.1006/jabr.1996.6935

APA

Green, R. M. (1997). Hyperoctahedral Schur algebras. Journal of Algebra, 192(1), 418-438. https://doi.org/10.1006/jabr.1996.6935

Vancouver

Green RM. Hyperoctahedral Schur algebras. Journal of Algebra. 1997;192(1):418-438. doi: 10.1006/jabr.1996.6935

Author

Green, R. M. / Hyperoctahedral Schur algebras. In: Journal of Algebra. 1997 ; Vol. 192, No. 1. pp. 418-438.

Bibtex

@article{f1d6d1ac77bb457ebd2e03f095600b48,
title = "Hyperoctahedral Schur algebras.",
abstract = "We study the centralising algebra of a natural action of the hyperoctahedral group (i.e., a finite Weyl group of typeBr) on ther-th tensor power of a2n-dimensional space. The centralising algebra of this is shown to have a product rule similar to Schur's product rule in typeA. We deform this action to an action of the Hecke algebra of typeBand study the associated centralising algebra of typeBand its dual. We introduce and studyq-permutation modules for the algebra.",
author = "Green, {R. M.}",
year = "1997",
doi = "10.1006/jabr.1996.6935",
language = "English",
volume = "192",
pages = "418--438",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "1",

}

RIS

TY - JOUR

T1 - Hyperoctahedral Schur algebras.

AU - Green, R. M.

PY - 1997

Y1 - 1997

N2 - We study the centralising algebra of a natural action of the hyperoctahedral group (i.e., a finite Weyl group of typeBr) on ther-th tensor power of a2n-dimensional space. The centralising algebra of this is shown to have a product rule similar to Schur's product rule in typeA. We deform this action to an action of the Hecke algebra of typeBand study the associated centralising algebra of typeBand its dual. We introduce and studyq-permutation modules for the algebra.

AB - We study the centralising algebra of a natural action of the hyperoctahedral group (i.e., a finite Weyl group of typeBr) on ther-th tensor power of a2n-dimensional space. The centralising algebra of this is shown to have a product rule similar to Schur's product rule in typeA. We deform this action to an action of the Hecke algebra of typeBand study the associated centralising algebra of typeBand its dual. We introduce and studyq-permutation modules for the algebra.

U2 - 10.1006/jabr.1996.6935

DO - 10.1006/jabr.1996.6935

M3 - Journal article

VL - 192

SP - 418

EP - 438

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -