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Symmetric bilinear forms, superalgebras and integer matrix factorization

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Symmetric bilinear forms, superalgebras and integer matrix factorization. / Fretwell, Dan; Roberts, Jenny.
In: Linear Algebra and its Applications, Vol. 700, 01.11.2024, p. 61-79.

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

Harvard

Fretwell, D & Roberts, J 2024, 'Symmetric bilinear forms, superalgebras and integer matrix factorization', Linear Algebra and its Applications, vol. 700, pp. 61-79. https://doi.org/10.1016/j.laa.2024.07.017

APA

Fretwell, D., & Roberts, J. (2024). Symmetric bilinear forms, superalgebras and integer matrix factorization. Linear Algebra and its Applications, 700, 61-79. Advance online publication. https://doi.org/10.1016/j.laa.2024.07.017

Vancouver

Fretwell D, Roberts J. Symmetric bilinear forms, superalgebras and integer matrix factorization. Linear Algebra and its Applications. 2024 Nov 1;700:61-79. Epub 2024 Aug 1. doi: 10.1016/j.laa.2024.07.017

Author

Fretwell, Dan ; Roberts, Jenny. / Symmetric bilinear forms, superalgebras and integer matrix factorization. In: Linear Algebra and its Applications. 2024 ; Vol. 700. pp. 61-79.

Bibtex

@article{07db7fa61b4f448fa34bd8a4267e100d,
title = "Symmetric bilinear forms, superalgebras and integer matrix factorization",
abstract = "We construct and investigate certain (unbalanced) superalgebra structures on End_ (V), with K a field of characteristic 0 and V a finite dimensional K-vector space (of dimension n ≥ 2). These structures are induced by a choice of non-degenerate symmetric bilinear form B on V and a choice of non-zero base vector w ∈ V. After exploring the construction further, we apply our results to certain questions concerning integer matrix factorization and isometry of integral lattices.",
author = "Dan Fretwell and Jenny Roberts",
year = "2024",
month = aug,
day = "1",
doi = "10.1016/j.laa.2024.07.017",
language = "English",
volume = "700",
pages = "61--79",
journal = "Linear Algebra and its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",

}

RIS

TY - JOUR

T1 - Symmetric bilinear forms, superalgebras and integer matrix factorization

AU - Fretwell, Dan

AU - Roberts, Jenny

PY - 2024/8/1

Y1 - 2024/8/1

N2 - We construct and investigate certain (unbalanced) superalgebra structures on End_ (V), with K a field of characteristic 0 and V a finite dimensional K-vector space (of dimension n ≥ 2). These structures are induced by a choice of non-degenerate symmetric bilinear form B on V and a choice of non-zero base vector w ∈ V. After exploring the construction further, we apply our results to certain questions concerning integer matrix factorization and isometry of integral lattices.

AB - We construct and investigate certain (unbalanced) superalgebra structures on End_ (V), with K a field of characteristic 0 and V a finite dimensional K-vector space (of dimension n ≥ 2). These structures are induced by a choice of non-degenerate symmetric bilinear form B on V and a choice of non-zero base vector w ∈ V. After exploring the construction further, we apply our results to certain questions concerning integer matrix factorization and isometry of integral lattices.

U2 - 10.1016/j.laa.2024.07.017

DO - 10.1016/j.laa.2024.07.017

M3 - Journal article

VL - 700

SP - 61

EP - 79

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

ER -