Results 11 to 20 of about 199,468 (335)
Interpolated Family of non Group-Like Simple Integral Fusion Rings of Lie Type [PDF]
International Journal of Mathematics, 2021 This paper is motivated by the quest of a non-group irreducible finite index depth 2 maximal subfactor. We compute the generic fusion rules of the Grothendieck ring of Rep(PSL(2,q)), q prime-power, by applying a Verlinde-like formula on the generic ...
Zhengwei Liu, S. Palcoux, Yunxiang Ren
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On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type [PDF]
European Journal of Mathematics, 2023 The Gruenberg–Kegel graph (or the prime graph) $$\Gamma (G)$$ Γ ( G ) of a finite group G is the graph whose vertex set is the set of prime divisors of | G | and in which two distinct vertices r and s are adjacent if and only if there exists an element ...
N. Maslova, V. V. Panshin, A. Staroletov
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Block-transitive 3-(v, k, 1) designs on exceptional groups of Lie type [PDF]
Journal of Algebraic Combinatorics, 2023 Let $\mathcal{D}$ be a non-trivial $G$-block-transitive $3$-$(v,k,1)$ design, where $T\leq G \leq \mathrm{Aut}(T)$ for some finite non-abelian simple group $T$.
Ting Lan, Weijun Liu, F. Yin
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Irredundant bases for finite groups of Lie type [PDF]
Pacific Journal of Mathematics, 2022 We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group.
Nick Gill, M. Liebeck
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The inductive McKay–Navarro conditions for the prime 2 and some groups of Lie type [PDF]
Proceedings of the American Mathematical Society, Series B, 2021 For a prime ℓ \ell , the McKay conjecture suggests a bijection between the set of irreducible characters of a finite group with ℓ ′ \ell ’ -degree and the corresponding set for the normalizer of a Sylow ℓ \ell -subgroup ...
L. Ruhstorfer, A. S. Fry
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A type B analog of the Lie representation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular representation of Sn−1, and our generalization mimics this property.
Andrew Berget
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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Electrical network and Lie theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Curtis-Ingerman-Morrow studied the space of circular planar electrical networks, and classified all possible response matrices for such networks. Lam and Pylyavskyy found a Lie group $EL_{2n}$ whose positive part $(EL_{2n})_{\geq 0}$ naturally acts on ...
Yi Su
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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Almost Simple Groups of Lie Type and Symmetric Designs with $\lambda$ Prime [PDF]
Electronic Journal of Combinatorics, 2020 In this article, we investigate symmetric $(v,k,\lambda)$ designs $\mathcal{D}$ with $\lambda$ prime admitting flag-transitive and point-primitive automorphism groups $G$. We prove that if $G$ is an almost simple group with socle a finite simple group of
S. H. Alavi, M. Bayat, A. Daneshkhah
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