TITLE

(Co)Homology and universal central extension of Hom-Leibniz algebras

AUTHOR(S)
Cheng, Yong; Su, Yu
PUB. DATE
May 2011
SOURCE
Acta Mathematica Sinica;May2011, Vol. 27 Issue 5, p813
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Hom-Leibniz algebra is a natural generalization of Leibniz algebras and Hom-Lie algebras. In this paper, we develop some structure theory (such as (co)homology groups, universal central extensions) of Hom-Leibniz algebras based on some works of Loday and Pirashvili.
ACCESSION #
59871259

 

Related Articles

  • L-MODULES, L-COMODULES AND HOM-LIE QUASI-BIALGEBRAS. BAKAYOKO, IBRAHIMA // African Diaspora Journal of Mathematics;2014, Vol. 17 Issue 1, p49 

    In this paper, we discuss A-modules and L-modules (resp. L-comodules) for Hom-Lie algebras (resp. Hom-Lie coalgebras). We show that for a given Hom-associative algebra A (resp. Hom-coassociative coalgebra), the A-module (resp. comodule) extends to L(A)-module (resp. comodule), where L(A) is the...

  • On generalized Witt algebras in one variable. Ki-Bong Nam; Pakianathan, Jonathan // Turkish Journal of Mathematics;2011, Vol. 35 Issue 3, p405 

    We study a class of infinite dimensional Lie algebras called generalized Witt algebras (in one variable). These include the classical Witt algebra and the centerless Virasoro algebra as important examples. We show that any such generalized Witt algebra is a semisimple, indecomposable Lie algebra...

  • Termal and polynomial endomorphisms of universal algebras. Pinus, A. G. // Algebra & Logic;Mar2010, Vol. 49 Issue 1, p12 

    We consider semigroups of termal and polynomial endomorphisms of universal algebras.

  • Derived autoequivalences from periodic algebras. Grant, Joseph // Proceedings of the London Mathematical Society;Feb2013, Vol. 106 Issue 2, p375 

    We present a construction of autoequivalences of derived categories of symmetric algebras based on projective modules with periodic endomorphism algebras. This construction generalizes autoequivalences previously constructed by Rouquier–Zimmermann and is related to the autoequivalences of...

  • Canonical endomorphism field on a Lie algebra. Kocik, Jerzy // Journal of Generalized Lie Theory & Applications;Sep2010, Vol. 4 Issue 3, p1 

    We show that every Lie algebra is equipped with a natural (1, 1)-variant tensor field, the "canonical endomorphism field", determined by the Lie structure, and satisfying a certain Nijenhuis bracket condition. This observation may be considered as complementary to the Kirillov-Kostant-Souriau...

  • COMPLEX STRUCTURES ON AFFINE MOTION GROUPS. BARBERIS, MARÍA L.; DOTTI, ISABEL G. // Quarterly Journal of Mathematics;Dec2004, Vol. 55 Issue 4, p375 

    We study existence of complex structures on semidirect products g ⊕ρ v, where g is a real Lie algebra and ρ is a representation of g on v. Our first examples, the Euclidean algebra e(3) and the Poincaré algebra e(2, 1), carry complex structures obtained by deformation of a regular...

  • The Persistent Homology of a Self-Map. Edelsbrunner, Herbert; Jabłoński, Grzegorz; Mrozek, Marian // Foundations of Computational Mathematics;Oct2015, Vol. 15 Issue 5, p1213 

    Considering a continuous self-map and the induced endomorphism on homology, we study the eigenvalues and eigenspaces of the latter. Taking a filtration of representations, we define the persistence of the eigenspaces, effectively introducing a hierarchical organization of the map. The algorithm...

  • AUTOMORPHISMS OF THE UHF ALGEBRA THAT DO NOT EXTEND TO THE CUNTZ ALGEBRA. CONTI, ROBERTO // Journal of the Australian Mathematical Society;Dec2010, Vol. 89 Issue 3, p309 

    The automorphisms of the canonical core UHF subalgebra ℱn of the Cuntz algebra 풪n do not necessarily extend to automorphisms of 풪n. Simple examples are discussed within the family of infinite tensor products of (inner) automorphisms of the matrix algebras Mn. In that case,...

  • A FORMULA FOR THE R-MATRIX USING A SYSTEM OF WEIGHT PRESERVING ENDOMORPHISMS.  // Representation Theory;6/ 1/2010, Vol. 14, p435 

    The article presents a mathematical study on the derivation of a formula for the universal R-matrix of a quantized universal enveloping algebra Uq(g) corresponding to a Lie algebra using a system of weight preserving endomorphisms. It is stated that this technique is advantageous over using...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics