Results 51 to 60 of about 102 (87)
Recognising flag varieties and reductive groups
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski +1 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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Classification of Frobenius, two-step solvable Lie poset algebras
, 2020 We show that the isomorphism class of a two-step solvable Lie poset subalgebra of a semisimple Lie algebra is determined by its dimension. We further establish that all such algebras are absolutely rigid.
Coll, Vincent +2 more
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QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES [PDF]
Modern Physics Letters A, 1996 The Manin triples construction of N =4 superconformal field theories is considered. A correspondence between quasi Frobenius finite-dimensional Lie algebras and N =4 Virasoro superalgebras is established.
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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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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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Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteristic
Journal of Algebra, 2004 29 pages, plain ...
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The Charactherization Criterion of g-quasi-Frobenius Lie Algebra Corresponding to Inner Derivation
CAUCHY: Jurnal Matematika Murni dan AplikasiThe structure of a g-quasi-Frobenius Lie Algebra can be realized as a quasi-Frobenius Lie Algebra modules over a Lie Algebra g. This research discusses a special condition of the g-quasi-Frobenius Lie Algebra, namely when g acts on its self. This condition supports the construction of an inner derivation on g.
Muhammad Arief Budiman +2 more
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FROBENIUS STRUCTURES AND CHARACTERS OF AFFINE LIE ALGEBRAS
FROBENIUS STRUCTURES AND CHARACTERS OF AFFINE LIE ALGEBRASThe author is supported by JSPS KAKENHI Grant Number JP17K18781, JP15K13234.
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, 2018 In this paper, we established the relationship among left-invariant flat connections on Lie groups, left-symmetric algebras, Frobenius Lie algebras and \'{e}tale prehomogeneous vector spaces, gave a one-to-one correspondence between the left-symmetric Lie algebras with a right identity and the \'{e}tale prehomogeneous vector spaces for a Lie group, and
Yang, Xiaomei, Zhu, Fuhai
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