Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Franchi, Clara"'
Axial algebras are a class of non-associative algebra with a strong link to finite (especially simple) groups which have recently received much attention. Of primary interest are the axial algebras of Monster type $(\alpha, \beta)$, of which the Grie
Externí odkaz:
http://arxiv.org/abs/2205.02200
In this paper we prove that $2$-generated primitive axial algebras of Monster type $(2\beta, \beta)$ over a ring $R$ in which $2$ and $\beta$ are invertible can be generated as $R$-module by $8$ vectors. We then completely classify $2$-generated prim
Externí odkaz:
http://arxiv.org/abs/2101.10379
We provide the basic setup for the project, initiated by Felix Rehren, aiming at classifying all 2-generated axial algebras of Monster type $(\alpha,\beta)$ over a field $\mathbb F$. Using this, we first show that every such algebra has dimension at
Externí odkaz:
http://arxiv.org/abs/2101.10315
Autor:
Franchi, Clara, Mainardis, Mario
Publikováno v:
J. Algebra 596 (2022), 200-218
Recently Takahiro Yabe gave an almost complete classification of primitive symmetric $2$-generated axial algebras of Monster type. In this note, we construct a new infinite-dimensional primitive $2$-generated symmetric axial algebra of Monster type $
Externí odkaz:
http://arxiv.org/abs/2101.09506
Rehren proved that a primitive 2-generated axial algebra of Monster type $(\alpha,\beta)$ has dimension at most eight if $\alpha\notin\{2\beta,4\beta\}$. In this note we construct an infinite-dimensional 2-generated primitive axial algebra of Monster
Externí odkaz:
http://arxiv.org/abs/2007.02430
Publikováno v:
Trans. Amer. Math. Soc., 375, (2022), 5753-5801
Majorana representations have been introduced by Ivanov in order to provide an axiomatic framework for studying the actions on the Griess algebra of the Monster and of its subgroups generated by Fischer involutions. A crucial step in this programme i
Externí odkaz:
http://arxiv.org/abs/2004.03890
Publikováno v:
In Journal of Algebra 15 December 2023 636:123-170
Autor:
Franchi, Clara, Mainardis, Mario
Publikováno v:
In Journal of Algebra 15 April 2022 596:200-218
We show that a hyperbolic $3$-manifold can be the cyclic branched cover of at most fifteen knots in $\mathbf{S}^3$. This is a consequence of a general result about finite groups of orientation preserving diffeomorphisms acting on $3$-manifolds. A sim
Externí odkaz:
http://arxiv.org/abs/1506.01895
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Aug 01. 145(8), 3249-3262.
Externí odkaz:
https://www.jstor.org/stable/90010720