On brane solutions related to non-singular Kac-Moody algebras.
On category for cyclotomic rational Cherednik algebras
We study equivalences for category of the rational Cherednik algebras of type : a highest weight equivalence between and for and an action of on an explicit non-empty Zariski open set of parameters ; a derived equivalence between and whenever and have integral difference; a highest weight equivalence between and a parabolic category for the general linear group, under a non-rationality assumption on the parameter . As a consequence, we confirm special cases of conjectures...
On centerless commutative automorphic loops
In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent with trivial center.
On characteristic identities for Lie algebras
On characterization of Poisson and Jacobi structures
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structures) associated with Lie algebroids and Jacobi algebroids.
On Cherednik-Macdonald-Mehta identities.
On classical -matrices with parabolic carrier.
On classification of metabelian Lie algebras.
On closedness and simple connectedness of adjoint and coadjoint orbits.
On commutation relations for 3-graded Lie algebras.
On compact elements in solvable Lie groups
On constant solutions of the Yang-Mills equations
On deformations and contractions of Lie algebras.
On derivations of Lie algebras
On derivations of nilpotent Lie algebras.
On dimension formulas for representations.
On dimension of the Schur multiplier of nilpotent Lie algebras
Let L be an n-dimensional non-abelian nilpotent Lie algebra and where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.
On embedding of Lie conformal algebras into associative conformal algebras.
On formal series and infinite products over Lie algebras.
On generators of free color Lie superalgebras of rank two.