From forbidden configurations to a classification of some axial algebras of Monster type
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Publication:2700949
DOI10.1016/J.JALGEBRA.2023.03.003OpenAlexW3182281096MaRDI QIDQ2700949
J. M. Inroy, Sergey V. Shpectorov
Publication date: 27 April 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.07415
Lie algebras and Lie superalgebras (17Bxx) General nonassociative rings (17Axx) Jordan algebras (algebras, triples and pairs) (17Cxx)
Related Items (3)
2-generated axial algebras of Monster type (\(2 \beta,\beta\)) ⋮ Quotients of the Highwater algebra and its cover ⋮ Enumerating 3-generated axial algebras of Monster type
Cites Work
- Universal axial algebras and a theorem of Sakuma
- Majorana representations of the symmetric group of degree 4.
- Miyamoto involutions in axial algebras of Jordan type half
- Enumerating 3-generated axial algebras of Monster type
- Split spin factor algebras
- Classifying 2-generated symmetric axial algebras of Monster type
- An infinite-dimensional 2-generated primitive axial algebra of monster type
- Decomposition algebras and axial algebras
- The universality of one half in commutative nonassociative algebras with identities
- An expansion algorithm for constructing axial algebras
- Primitive axial algebras of Jordan type
- On the classification of 2-generated axial algebras of Majorana type
- On the structure of axial algebras
- Generalised dihedral subalgebras from the Monster
- Double axes and subalgebras of Monster type in Matsuo algebras
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