Search Results - "Rubio Y Degrassi, Lleonard"

On the Lie algebra structure of integrable derivations by Briggs, Benjamin, Rubio y Degrassi, Lleonard

“…Abstract Building on work of Gerstenhaber, we show that the space of integrable derivations on an Artin algebra forms a Lie algebra, and a restricted Lie…”
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The first Hochschild cohomology as a Lie algebra by Rubio y Degrassi, Lleonard, Schroll, Sibylle, Solotar, Andrea

“…In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms…”
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Stable invariance of the restricted Lie algebra structure of Hochschild cohomology by Briggs, Benjamin, Rubio y Degrassi, Lleonard

“…We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective…”
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The Hochschild cohomology groups under gluing arrows by Liu, Yuming, Rubio y Degrassi, Lleonard, Wen, Can

“…In a previous paper we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In the present…”
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Block algebras with HH1 a simple Lie algebra by Linckelmann, Markus, Rubio Y Degrassi, Lleonard

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Invariance of the restricted p-power map on integrable derivations under stable equivalences by Rubio y Degrassi, Lleonard

“…We show that the p-power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic p…”
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Stable invariance of the restricted Lie algebra structure of Hochschild cohomology by Briggs, Benjamin, Degrassi, Lleonard Rubio y

“…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…”
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Maximal Tori in HH 1 and the Fundamental Group by Briggs, Benjamin, Rubio y Degrassi, Lleonard

“…Abstract We investigate maximal tori in the Hochschild cohomology Lie algebra ${\operatorname {HH}}^1(A)$ of a finite dimensional algebra $A$, and their…”
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On the first relative Hochschild cohomology and contracted fundamental group by Lindell, Jonathan, Degrassi, Lleonard Rubio y

“…In this paper we investigate the Lie algebra structure of the first relative Hochschild cohomology and its relation with the relative notion of fundamental…”
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On the Lie algebra structure of integrable derivations by Briggs, Benjamin, Degrassi, Lleonard Rubio y

“…Building on work of Gerstenhaber, we show that the space of integrable derivations on an Artin algebra $A$ forms a Lie algebra, and a restricted Lie algebra if…”
Get full text

The Hochschild cohomology groups under gluing arrows by Liu, Yuming, Degrassi, Lleonard Rubio y, Wen, Can

“…In a previous paper arXiv:2211.05435 we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In…”
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Maximal tori in $HH^1$ and the fundamental group by Briggs, Benjamin, Degrassi, Lleonard Rubio y

“…We investigate maximal tori in the Hochschild cohomology Lie algebra $HH^1(A)$ of a finite dimensional algebra $A$, and their connection with the fundamental…”
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The Hochschild cohomology groups under gluing idempotents by Liu, Yuming, Degrassi, Lleonard Rubio y, Wen, Can

“…We compare the first Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. We also compare the fundamental groups…”
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On the Lie algebra structure of $HH^1(A)$ of a finite-dimensional algebra $A by Linckelmann, Markus, Degrassi, Lleonard Rubio y

“…Let $A$ 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 $A$ is a…”
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Invariance of the restricted $p$-power map on integrable derivations under stable equivalences by Degrassi, Lleonard Rubio y

“…We show that the $p$-power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic $p$…”
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The first Hochschild cohomology as a Lie algebra by Degrassi, Lleonard Rubio y, Schroll, Sibylle, Solotar, Andrea

“…In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms…”
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Block algebras with HH1 a simple Lie algebra by Linckelmann, Markus, Degrassi, Lleonard Rubio y

“…We show that if $B$ is a block of a finite group algebra $kG$ over an algebraically closed field $k$ of prime characteristic $p$ such that $\HH^1(B)$ is a…”
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