Inner endomorphisms of an associative algebra.

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

compact endomorphisms of certain subalgebras of the disk algebra

An Embedding of a Dialgebra into an Associative Conformal Algebra

We prove that a dialgebra (coming from K-theory) can be embedded into an associative conformal algebra (coming from conformal field theory). This shows that these notions are related in the same way as ordinary associative algebras related to Lie algebras. The notion of a dialgebra originally appear in K-theory as an analogue of the universal associative envelope for Leibnitz algebras [L1]. On ...

Making Non - Associative Algebra Associative Pei

Based on results about open string correlation functions, a nonassociative algebra was proposed in a recent paper for D-branes in a background with nonvanishing H. We show that our associative algebra obtained by quantizing the endpoints of an open string in an earlier work can also be used to reproduce the same correlation functions. The novelty of this algebra is that functions on the D-brane...

Inner Derivations of Non-associative Algebras

In this note we propose a definition of inner derivation for nonassociative algebras. This definition coincides with the usual one for Lie algebras, and for associative algebras with no absolute right (left) divisor of zero. I t is well known that all derivations of semi-simple associative or Lie algebras over a field of characteristic zero are inner. Recent correspondence with N. Jacobson has ...