Ext groups in the category of bimodules over a simple Leibniz algebra

نویسندگان

چکیده

In this article, we generalize Loday and Pirashvili's [11] computation of the Ext-category Leibniz bimodules for a simple Lie algebra to case (non Lie) algebra. Most arguments easily, while main new ingredient is Feldvoss-Wagemann's cohomology vanishing theorem semi-simple algebras.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Ext and Hyperext groups in the category of functors

Let R be a commutative ring with unit and F denotes the category of functors from the category of R-modules to itself. Let I ∈ F denote the inclusion functor. For a functor F ∈ F we compare the groups ExtF (I, F ) with ⊕iExtF (I, LiF ) and the hyperext groups Ext∗(I,QF ), where LiF is the ith left stable derived functor of F and QF denotes the Mac Lane’s Q-construction related to F . The dual s...

متن کامل

Leibniz algebra deformations of a Lie algebra

In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra n3 and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of n3 with the versal base.

متن کامل

Ext and the Motivic Steenrod Algebra over R

We present a descent style, Bockstein spectral sequence computing Ext over the motivic Steenrod algebra over R and related sub-Hopf algebras. We demonstrate the workings of this spectral sequence in several examples, providing motivic analogues to the classical computations related to BP 〈n〉 and ko.

متن کامل

Ext Groups and Ext Functors

If A and B are Abelian groups, then Hom(A,B) is also an Abelian group under pointwise addition of functions. In this section we will see how Hom gives rise to classes of functors. Let A denote the category of Abelian groups. A covariant functor T : A → A associates to every Abelian group A an Abelian group T (A), and for every homomorphism f : A → B a homomorphism T (f) : T (A)→ T (B), such tha...

متن کامل

On Ext in the Category of Functors to Preabelian Category *

The article is devoted to extension groups in the category of functors from a small category to an additive category with an Abelian structure in the sense of Heller. It is proved that under additional assumptions there exists a spectral sequence which converges to the extension groups.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2020.106637