期刊： JOURNAL OF LIE THEORY, 2021; 31 (3)
We investigate the structure of the centralizer and the normalizer of a local analytic or formal differential system at a nondegenerate stationary poi......
期刊： JOURNAL OF LIE THEORY, 2021; 31 (1)
We study the cup products and Betti numbers over cohomology superspaces of two-step nilpotent Lie superalgebras with coefficients in the adjoint modul......
期刊： JOURNAL OF LIE THEORY, 2021; 31 (1)
We introduce Hom-pre-Lie bialgebras in the general framework of the cohomology theory for Hom-Lie algebras. We show that Hom-pre-Lie bialgebras, stand......
期刊： JOURNAL OF LIE THEORY, 2021; 31 (1)
We investigate the structure and finite irreducible representation of a Lie H- pseudoalgebra W(m, pi, g), which is a generalization of the vector fiel......
期刊： JOURNAL OF LIE THEORY, 2021; 31 (2)
We give a complete classification of quasi-finite irreducible modules over affine Virasoro algebras. It is shown that they are all highest weight modu......
期刊： JOURNAL OF LIE THEORY, 2021; 31 (2)
We classify Lie groups of dimension 4 with signature of (2,2) which admit non-Killing left-invariant conformal vector fields.
期刊： JOURNAL OF LIE THEORY, 2021; 31 (2)
We first prove a Liouville theorem to the torsion system {xi(i)(i) = lambda(x) +/- 2x(k)xi(k)/vertical bar x vertical bar(2) +1 for all(i) = 1, 2, . .......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (4)
We study the structure of the reduced W-algebra U-x (sl(2), e) with e being regular nilpotent, over an algebraically closed field k of characteristic ......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (4)
We introduce the notion of (super-)multiplier-ranks for Lie superalgeras and classify all the finite-dimensional nilpotent Lie superalgebras of multip......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (3)
We classify all irreducible cuspidal modules for solenoidal Lie algebras over rational quantum tori, generalizing the results about cuspidal modules f......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (3)
We confirm a conjecture on associated varieties by Toshiyuki Kobayashi for the Klein four symmetric pair (E6(-14), Spin(8, 1)), which provides an alte......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (3)
We classify Lorentzian Lie groups of dimension 5 which admit left-invariant non-Killing conformal vector fields.
期刊： JOURNAL OF LIE THEORY, 2020; 30 (1)
Any involutive derivation D on a 3-Lie algebra A induces a local cocycle 3-Lie bialgebra (A x (ad)* A*, Delta) . We give precise formulas of the 3-Lie......
期刊： JOURNAL OF LIE THEORY, 2020; 30 (1)
Let K be an algebraically closed field of characteristic p > 0. In this short note, we illustrate a class of Lie superalgebras over K such that the......
期刊： JOURNAL OF LIE THEORY, 2019; 29 (1)
The Atiyah class was originally introduced by M. F. Atiyah. It has many developments in recent years. One important case is the Atiyah classes of Lie ......
