Recent publications
Article
Franchi, C, Mainardis, M & Shpectorov, S 2023, '2-generated axial algebras of Monster type (2β,β)', Journal of Algebra, vol. 636, pp. 123-170. https://doi.org/10.1016/j.jalgebra.2023.08.020
Mcinroy, J & Shpectorov, S 2023, 'From forbidden configurations to a classification of some axial algebras of Monster type', Journal of Algebra, vol. 627, pp. 58-105. https://doi.org/10.1016/j.jalgebra.2023.03.003
Franchi, C, Mainardis, M & Shpectorov, S 2022, 'An infinite-dimensional 2-generated primitive axial algebra of Monster type', Annali di Matematica Pura ed Applicata, vol. 201, pp. 1279-1293. https://doi.org/10.1007/s10231-021-01157-8
Khasraw, SMS, McInroy, J & Shpectorov, S 2022, 'Enumerating 3-generated axial algebras of Monster type', Journal of Pure and Applied Algebra, vol. 226, no. 2, 106816. https://doi.org/10.1016/j.jpaa.2021.106816
McInroy, J & Shpectorov, S 2022, 'Split spin factor algebras', Journal of Algebra, vol. 595, pp. 380-397. https://doi.org/10.1016/j.jalgebra.2021.12.022
Galt, A, Joshi, V, Mamontov, A, Shpectorov, S & Staroletov, A 2021, 'Double axes and subalgebras of Monster type in Matsuo algebras', Communications in Algebra, vol. 49, no. 10, pp. 4208-4248. https://doi.org/10.1080/00927872.2021.1917589
Hall, JI & Shpectorov, S 2021, 'The spectra of finite 3-transposition groups', Arabian Journal of Mathematics, vol. 10, no. 3, pp. 611-638. https://doi.org/10.1007/s40065-021-00329-x
McInroy, J & Shpectorov, S 2020, 'An expansion algorithm for constructing axial algebras', Journal of Algebra, vol. 550, pp. 379-409. https://doi.org/10.1016/j.jalgebra.2019.12.018, https://doi.org/10.1016/j.jalgebra.2019.12.018
Medts, TD, Peacock, SF, Shpectorov, S & Couwenberghe, MV 2020, 'Decomposition algebras and axial algebras', Journal of Algebra, vol. 556, pp. 287-314. https://doi.org/10.1016/j.jalgebra.2020.02.027
Blok, R, Hoffman, C & Shpectorov, S 2019, 'Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram', Israel Journal of Mathematics, vol. 230, no. 1, pp. 97–140. https://doi.org/10.1007/s11856-018-1819-5
Alfuraidan, MR, Sarumi, IO & Shpectorov, S 2019, 'On the Non-Existence of srg(76,21,2,7)', Graphs and Combinatorics, vol. 35, no. 4, pp. 847-854. https://doi.org/10.1007/s00373-019-02039-w
Khasraw, S, McInroy, J & Shpectorov, S 2019, 'On the structure of axial algebras', Transactions of the American Mathematical Society, vol. 373, no. 3, pp. 2135-2156. https://doi.org/10.1090/tran/7979
Preprint
Gorshkov, I, McInroy, J, Shumba, TM & Shpectorov, S 2023 'Automorphism groups of axial algebras' arXiv. https://doi.org/10.48550/arXiv.2311.18538
McInroy, J & Shpectorov, S 2022 'Axial algebras of Jordan and Monster type' arXiv, pp. 1-40. https://doi.org/10.48550/arXiv.2209.08043
McInroy, J & Shpectorov, S 2022 'From forbidden configurations to a classification of some axial algebras of Monster type' arXiv, pp. 1-48. https://doi.org/10.48550/arXiv.2107.07415
View all publications in research portal