The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

نویسندگان

چکیده

<abstract><p>The main purpose of this paper is to provide a full cohomology Hom-pre-Lie algebra with coefficients in given representation. This new type exploits strongly the Hom-type structure and fits perfectly simultaneous deformations multiplication homomorphism defining algebra. Moreover, we show that its second group classifies abelian extensions by representation.</p></abstract>

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

Cohomology and Deformations in Graded Lie Algebras

Introduction. In an address to the Society in 1962, one of the authors gave an outline of the similarities between the deformations of complex-analytic structures on compact manifolds on one hand, and the deformations of associative algebras on the other. The first theory had been stimulated in 1957 by a paper [7] by NijenhuisFrölicher and extensively developed in a series of papers by KodairaS...

متن کامل

Enveloping Algebras of Hom-lie Algebras

A Hom-Lie algebra is a triple (L, [−,−], α), where α is a linear self-map, in which the skew-symmetric bracket satisfies an α-twisted variant of the Jacobi identity, called the Hom-Jacobi identity. When α is the identity map, the Hom-Jacobi identity reduces to the usual Jacobi identity, and L is a Lie algebra. Hom-Lie algebras and related algebras were introduced in [1] to construct deformation...

متن کامل

Hom-lie Admissible Hom-coalgebras and Hom-hopf Algebras

The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced in [2] to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced in [12].

متن کامل

Cohomology and Formal Deformations of Left Alternative Algebras

The purpose of this paper is to introduce an algebraic cohomology and formal deformation theory of left alternative algebras. Connections to some other algebraic structures are given also.

متن کامل

The Hom-yang-baxter Equation and Hom-lie Algebras

Motivated by recent work on Hom-Lie algebras, a twisted version of the Yang-Baxter equation, called the Hom-Yang-Baxter equation (HYBE), was introduced by the author in [62]. In this paper, several more classes of solutions of the HYBE are constructed. Some of these solutions of the HYBE are closely related to the quantum enveloping algebra of sl(2), the Jones-Conway polynomial, and Yetter-Drin...

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: Electronic research archive

سال: 2022

ISSN: ['2688-1594']

DOI: https://doi.org/10.3934/era.2022141