6 citations · 6 across the 9 of their papers we have counts for
10 papers
Outer derivations on blocks of group algebras
Matthew Antrobus, Benjamin Briggs, Lleonard Rubio y Degrassi
Let be a block of a finite group algebra . Linckelmann has conjectured that if the defect group of is nontrivial then admits a -linear outer derivation, or i…
Truncated factorized perverse sheaves on Sym(C)
Giovanna Carnovale, Francesco Esposito, Lleonard Rubio y Degrassi
Kapranov and Schechtman defined the category FP of factorized perverse sheaves on Sym(C) smooth along the stratification given by multiplicities and with values in a braided monoid…
Approximation of graded bialgebras
Giovanna Carnovale, Francesco Esposito, Lleonard Rubio y Degrassi
Motivated by an equivalence of categories established by Kapranov and Schechtman, we introduce, for each non-negative integer d, the category of connected bialgebras modulo d+1. We…
On the first relative Hochschild cohomology
Jonathan Lindell, Lleonard Rubio y Degrassi
In this paper we investigate the Lie algebra structure of the first relative Hochschild cohomology. Let be finite-dimensional basic -algebras over an algebraically closed…
On the first Hochschild cohomology of finite dimensional quiver algebras under gluing idempotents
Yuming Liu, Lleonard Rubio y Degrassi, Can Wen
We compare the Lie algebra structures of the first Hochschild cohomology groups of a quiver algebra and a radical embedding obtained by gluing two idempotents of . Under…
Maximal tori in and the fundamental group
Benjamin Briggs, Lleonard Rubio y Degrassi
We investigate maximal tori in the Hochschild cohomology Lie algebra of a finite dimensional algebra , and their connection with the fundamental groups associated to p…
Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
Benjamin Briggs, Lleonard Rubio y Degrassi
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…
On the Lie algebra structure of of a finite-dimensional algebra
Markus Linckelmann, Lleonard Rubio y Degrassi
Let be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of is a simple directed graph, th…
Block algebras with HH1 a simple Lie algebra
Markus Linckelmann, Lleonard Rubio y Degrassi
We show that if is a block of a finite group algebra over an algebraically closed field of prime characteristic such that $\HH^1(B)$ is a simple Lie algebra and su…
Invariance of the restricted -power map on integrable derivations under stable equivalences
Lleonard Rubio y Degrassi
We show that the -power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic commute with stable e…