---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/Modules/MultilinearAlgebra/bibliography.html"
source: "https://docs.magma-maths.org/Modules/MultilinearAlgebra/bibliography.md"
part: "Modules"
chapter: "Multilinear Algebra"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modules", "source": "../index-modules.md"}
  - {"title": "Multilinear Algebra", "source": "index-multilinear-algebra.md"}
prev: {"title": "Some Extended Examples", "source": "Some_examples.md"}
next: {"title": "Finite Groups", "source": "../../FiniteGroups/index-finite-groups.md"}
---

# Bibliography

<a id="cite-albert-fundamentals"></a>
- **[Alb42]** A. A. Albert. Non-associative algebras. I. Fundamental concepts and isotopy. *Ann. of Math. (2)*, 43:685–707, 1942. URL: [https://doi.org/10.2307/1968960](https://doi.org/10.2307/1968960), [doi:10.2307/1968960](https://doi.org/10.2307/1968960).
<a id="cite-bmw-genus2"></a>
- **[BMW17]** Peter A. Brooksbank, Joshua Maglione, and James B. Wilson. A fast isomorphism test for groups whose Lie algebra has genus 2. *J. Algebra*, 473:545–590, 2017. URL: [https://doi.org/10.1016/j.jalgebra.2016.12.007](https://doi.org/10.1016/j.jalgebra.2016.12.007), [doi:10.1016/j.jalgebra.2016.12.007](https://doi.org/10.1016/j.jalgebra.2016.12.007).
<a id="cite-bw-staralge"></a>
- **[BW]** Peter A. Brooksbank and James B. Wilson. StarAlge. https://github.com/thetensor-space/StarAlge.
<a id="cite-bw-isometry"></a>
- **[BW12b]** Peter A. Brooksbank and James B. Wilson. Computing isometry groups of Hermitian maps. *Trans. Amer. Math. Soc.*, 364(4):1975–1996, 2012. URL: [https://doi.org/10.1090/S0002-9947-2011-05388-2](https://doi.org/10.1090/S0002-9947-2011-05388-2), [doi:10.1090/S0002-9947-2011-05388-2](https://doi.org/10.1090/S0002-9947-2011-05388-2).
<a id="cite-bw-grps-tensor"></a>
- **[BW14]** Peter A. Brooksbank and James B. Wilson. Groups acting on tensor products. *J. Pure Appl. Algebra*, 218(3):405–416, 2014. URL: [https://doi.org/10.1016/j.jpaa.2013.06.011](https://doi.org/10.1016/j.jpaa.2013.06.011), [doi:10.1016/j.jpaa.2013.06.011](https://doi.org/10.1016/j.jpaa.2013.06.011).
<a id="cite-bw-module-iso"></a>
- **[BW15]** Peter A. Brooksbank and James B. Wilson. The module isomorphism problem reconsidered. *J. Algebra*, 421:541–559, 2015. URL: [https://doi.org/10.1016/j.jalgebra.2014.09.004](https://doi.org/10.1016/j.jalgebra.2014.09.004), [doi:10.1016/j.jalgebra.2014.09.004](https://doi.org/10.1016/j.jalgebra.2014.09.004).
<a id="cite-fmw-densors"></a>
- **[FMW19]** Uriya First, Joshua Maglione, and James B. Wilson. A spectral theory for transverse tensor operators. 2019. [arXiv:1911.02518](https://arxiv.org/abs/1911.02518).
<a id="cite-landsberg-tensors"></a>
- **[Lan12]** J. M. Landsberg. *Tensors: geometry and applications*. Volume 128 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2012. ISBN 978-0-8218-6907-9.
<a id="cite-lee-geom"></a>
- **[Lee13]** John M. Lee. *Introduction to smooth manifolds*. Volume 218 of Graduate Texts in Mathematics. Springer, New York, second edition, 2013. ISBN 978-1-4419-9981-8.
<a id="cite-payne-elation-grps"></a>
- **[Pay06]** Stanley E. Payne. Finite groups that admit Kantor families. In *Finite geometries, groups, and computation*, pages 191–202. Walter de Gruyter, Berlin, 2006.
<a id="cite-weyl"></a>
- **[Wey50a]** Herman Weyl. *The theory of groups and quantum mechanics*. Dover, New York, 1950.
<a id="cite-wilson-division"></a>
- **[Wil13a]** James B. Wilson. Division, adjoints, and dualities of bilinear maps. *Comm. Algebra*, 41(11):3989–4008, 2013. URL: [https://doi.org/10.1080/00927872.2012.660668](https://doi.org/10.1080/00927872.2012.660668), [doi:10.1080/00927872.2012.660668](https://doi.org/10.1080/00927872.2012.660668).
<a id="cite-wilson-lmr"></a>
- **[Wil17]** James B. Wilson. On automorphisms of groups, rings, and algebras. *Comm. Algebra*, 45(4):1452–1478, 2017. URL: [https://doi.org/10.1080/00927872.2016.1175617](https://doi.org/10.1080/00927872.2016.1175617), [doi:10.1080/00927872.2016.1175617](https://doi.org/10.1080/00927872.2016.1175617).