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Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
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On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem
, 2020 This new version V2, 37 pages in Latex, contains substantial deep changes compared to version 1 which was only 12 pages. In particular, the present version includes deep discussions on the classification of 2-step solvable Frobenius Lie algebras and maximal Abelian subalgebras of sl(n,K)
Diatta, Andre +2 more
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Frobenius structures and characters of affine Lie algebras
, 2017 35 pages. In this revision, Proposition 5.4 in the previous version is divided into 4 Propositions (from Proposition 5.4 to Proposition 5.7).
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Lie invariant Frobenius lifts on linear algebraic groups
, 2018 We show that if $G$ is a linear algebraic group over a number field and if $G$ is not a torus then for all but finitely many primes $p$ the $p$-adic completion of $G$ does not possess a Frobenius lift that is "Lie invariant mod $p$" (in the sense of \cite{alie1}). This is in contrast with the situation of elliptic curves studied in \cite{alie1}.
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q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B
, 1996 The generic Hecke algebra for the hyperoctahedral group, i.e. the Weyl group of type B, contains the generic Hecke algebra for the symmetric group, i.e. the Weyl group of type A, as a subalgebra.
Koelink, H. T.
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Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteristic
Journal of Algebra, 2004 29 pages, plain ...
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Computing invariants and semi-invariants by means of Frobenius Lie algebras
Journal of Algebra, 2009 Let U(L) be the enveloping algebra of a finite dimensional Lie algebra L over a field k of characteristic zero, Z(U(L)) its center and Sz(U(L)) its semicenter. A sufficient condition is given in order for Sz(U(L)) to be a polynomial algebra over k. Surprisingly, this condition holds for many Lie algebras, especially among those for which the radical is
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Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie algebras
Journal of Pure and Applied Algebra, 1999 Classifying rational solutions of the classical Yang-Baxter equation by integers \(k\), the author first interprets a result of \textit{A. Belavin} and \textit{V. Drinfeld} [Funct. Anal. Appl. 16, 159--180 (1983); translation from Funkts. Anal. Prilozh. 16, No.
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The u-Algebra of a Restricted Lie Algebra is Frobenius [PDF]
Proceedings of the American Mathematical Society, 1964 openaire +2 more sources
Regimes and mechanisms of transient amplification in abstract and biological neural networks. [PDF]
PLoS Comput Biol, 2022 Christodoulou G, Vogels TP, Agnes EJ.
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