Asymmetric Decompositions of Vectors in Jb∗-algebras

On Unitary Convex Decompositions of Vectors in a Jb∗-algebra

By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital JB∗-algebra permits the vector decomposable as convex combination of fewer unitaries; certain C∗-algebra results due to M. Rørdam have been extended to the general setting of JB∗-algebras.

Automatic Continuity of Higher Derivations on JB*-Algebras

CHEBYSHEV SUBALGEBRAS OF JB-ALGEBRAS

In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert space

Exceptional Vertex Operator Algebras and the Virasoro Algebra

We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these theories that follow from an analysis of appropriate genus zero and genus one two point correlation functions. We find explicit differential equations for the partition functi...

Realization of locally extended affine Lie algebras of type $A_1$

Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...