On the subalgebra lattice of a restricted Lie algebra]{On the subalgebra lattice of a restricted Lie algebra

Autor: Paez-Guillan, Pilar, Siciliano, Salvatore, Towers, David A.

In this paper we study the lattice of restricted subalgebras of a restricted Lie algebra. In particular, we consider those algebras in which this lattice is dually atomistic, lower or upper semimodular, or in which every restricted subalgebra is a qu

Externí odkaz: http://arxiv.org/abs/2201.01718

Stable invariance of the restricted Lie algebra structure of Hochschild cohomology

Autor: Briggs, Benjamin, Degrassi, Lleonard Rubio y

Publikováno v: Pacific J. Math. 321 (2022) 45-71

We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective algebras. Thereby we obtain a number of positive characteristic stable invariants, such as the $p$

Externí odkaz: http://arxiv.org/abs/2006.13871

A note on the rank of a restricted Lie algebra

Autor: Chang, Hao

In this short note, we study the rank of a restricted Lie algebra $(\mathfrak{g},[p])$ and give some applications, which concerns the dimensions of non-trivial irreducible modules. We also compute the rank of the restricted contact algebra $K(n)$.

Externí odkaz: http://arxiv.org/abs/1609.01446

On the restricted Lie algebra structure for the Witt Lie algebra in finite characteristic

Autor: Evans, Tyler J., Fuchs, Dmitry

We show that the p-operator in the Witt algebra (the restricted Lie algebra of derivations of the quotient of the polynomial algebra over a field of characteristic p by the ideal generated by the p-th power of the indeterminant) is given by multiplic

Externí odkaz: http://arxiv.org/abs/math/0111271

Stable invariance of the restricted Lie algebra structure of Hochschild cohomology

Autor: Benjamin Briggs, Lleonard Rubio y Degrassi

Publikováno v: Briggs, B & Degrassi, L R Y 2022, ' Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ', Pacific Journal of Mathematics, vol. 321, no. 1, pp. 45-73 . https://doi.org/10.2140/pjm.2022.321.45

We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective algebras. Thereby we obtain a number of positive characteristic stable invariants, such as the $p$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5b33b0324aa97fb6b75e72e4cddd542
http://arxiv.org/abs/2006.13871