On the Lie algebra structure of 𝐻𝐻¹(𝐴) of a finite-dimensional algebra 𝐴

DOI10.1090/proc/14875zbMath1441.16013arXiv1903.08484OpenAlexW2982337484WikidataQ115290744 ScholiaQ115290744MaRDI QIDQ5221332

Markus Linckelmann, Lleonard Rubio y Degrassi

Publication date: 25 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08484

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular Lie (super)algebras (17B50)

Related Items (7)

The first Hochschild cohomology as a Lie algebra ⋮ Tate–Shafarevich groups and algebras ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ The nonvanishing first Hochschild cohomology of twisted finite simple group algebras ⋮ On solvability of the first Hochschild cohomology of a finite-dimensional algebra ⋮ Cohomology of finite groups: interactions and applications. Abstracts from the workshop held August 9--15, 2020 (hybrid meeting) ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Cites Work

• Unnamed Item
• On the Ext-quiver of blocks of defect 3 of symmetric group algebras
• Blocks of tame representation type and related algebras
• Extensions for finite Chevalley groups. I.
• On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\)
• Mod p Reducibility of Unramified Representations of Finite Groups of Lie Type
• IRREDUCIBLE REPRESENTATIONS OF STRONGLY SOLVABLE LIE ALGEBRAS OVER A FIELD OF POSITIVE CHARACTERISTIC
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• Block algebras with HH1 a simple Lie algebra
• On solvability of the first Hochschild cohomology of a finite-dimensional algebra
• THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA

This page was built for publication: On the Lie algebra structure of 𝐻𝐻¹(𝐴) of a finite-dimensional algebra 𝐴