A group of a Lie algebra.
A Holomorphic Characterization of Jordan C*-Algebras.
A homotopy Lie-Rinehart resolution and classical BRST cohomology.
A Hyperbolic Kac-Moody Algebra and the Theory of Siegel Modular Forms of Genus 2.
A Künneth Formula for the Cyclic Cohomology of Z/2-Graded Algebras.
A Leibniz algebra structure on the second tensor power.
A Lie algebroid on the Wiener space.
A Lie product type formula in Euclidean Jordan algebras
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
A Littlewood-Richardson rule for evaluation representations of .
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras.
A Multiplicity One Theorem for Holomorphically Induced Representations.
A natural graded Lie algebra sheaf over Riemann surfaces
A new approach to Hom-left-symmetric bialgebras
The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that -matrix is a solution of the Hom--equation by a cocycle condition.
A new Family of Irreducible, Integrable Modules for Affine Lie Algebras.
A new order relation for JB-algebras
A nilpotent ideal in the Lie rings with automorphism of prime order.
A non-abelian tensor product of Leibniz algebra
Leibniz algebras are a non-commutative version of usual Lie algebras. We introduce a notion of (pre)crossed Leibniz algebra which is a simultaneous generalization of notions of representation and two-sided ideal of a Leibniz algebra. We construct the Leibniz algebra of biderivations on crossed Leibniz algebras and we define a non-abelian tensor product of Leibniz algebras. These two notions are adjoint to each other. A (co)homological characterization of these new algebraic objects enables us to...
A non-semiprime associative algebra with zero weak radical.
The weak radical, W-Rad(A) of a non-associative algebra A, has been introduced by A. Rodríguez Palacios in [3] in order to generalize the Johnson's uniqueness of norm theorem to general complete normed non-associative algebras (see also [2] for another application of this notion). In [4], he showed that if A is a semiprime non-associative algebra with DCC on ideals, then W-Rad(A) = 0. In the first part of this paper we give an example of a non-semiprime associative algebra A with DCC on ideals and...
A note on 2-step subideals of Lie algebras
A note on automorphism group of an n-generator nilpotent lie algebra