A Riemann Mapping Theorem for Bounded Symmetric Domains in Complex Banach Spaces.
A rigidity phenomenon for germs of actions of
We study germs of Lie algebras generated by two commuting vector fields in manifolds that are maximal in the sense of Palais (those which do not present any evident obstruction to be the local model of an action of ). We study three particular pairs of homogeneous quadratic commuting vector fields (in , and ) and study the maximal Lie algebras generated by commuting vector fields whose 2-jets at the origin are the given homogeneous ones. In the first case we prove that the quadratic algebra...
A saturation property for powers of irreducible characters.
A simple symmetry generating operads related to rooted planar -ary trees and polygonal numbers.
A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices
A special type of triangulations in numerical nonlinear analysis.
To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.
A spectral characterization of the socle of Banach Jordan systems.
A spectral theory for order unit spaces
A structure theory for Jordan -pairs
Jordan -pairs appear, in a natural way, in the study of Lie -triple systems ([3]). Indeed, it is shown in [4, Th. 3.1] that the problem of the classification of Lie -triple systems is reduced to prove the existence of certain -algebra envelopes, and it is also shown in [3] that we can associate topologically simple nonquadratic Jordan -pairs to a wide class of Lie -triple systems and then the above envelopes can be obtained from a suitable classification, in terms of associative -pairs, of...
A study of various results for a class of entire Dirichlet series with complex frequencies
Let be a class of entire functions represented by Dirichlet series with complex frequencies for which is bounded. Then is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to have also been established.
A surjectivity theorem for rigid highest weight modules.
A symplectic representation of
We explicitly construct a particular real form of the Lie algebra in terms of symplectic matrices over the octonions, thus justifying the identifications and, at the group level, . Along the way, we provide a geometric description of the minimal representation of in terms of rank 3 objects called cubies.
A Theorem on Non-Associative Algebras and its Application to Differential Equations.
A trace formula for semi-simple Lie algebras
A Transversality property of a derivation of the universal enverloping algebra U (k), for SO (n,1) and SU (n,1).
A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux.
A -representation with no quantum symmetric algebra
We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.
Abelian closure in soluble Lie rings
Abelian complex structures on 6-dimensional compact nilmanifolds
We classify the -dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure we describe the space of symplectic forms which are compatible with .
Abelian complex structures on solvable Lie algebras.