Automorphism groups of simple Kokoris algebras

A characterization of simple $K_4$-groups of type $L_2(q)$ and their automorphism groups

In this paper, it is proved that all simple $K_4$-groups of type $L_2(q)$ can be characterized by their maximum element orders together with their orders. Furthermore, the automorphism groups of simple $K_4$-groups of type $L_2(q)$ are also considered.

Compact automorphism groups of vertex operator algebras

Let V be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group G of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for G and the irreducible modules for V G which are contained in V where V G is the space of G-invariants of V. We also prove a concomitant Galois correspondence between vertex operator s...

On Automorphism Groups of C*-algebras

Automorphism Groups of Squares and of Free Algebras

We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, free, algebraic structure.

Automorphism Groups of a Class of Solvable Complete Lie Algebras

In this paper we study the automorphism group of solvable complete Lie algebra whose nilpotent radical is a quasi Heisenberg algebra. AMS Classification: 17B05; 17B30