Some Remarks on the Exceptional Simple Lie Group

Jordan Gradings on Exceptional Simple Lie Algebras

Models of all the gradings on the exceptional simple Lie algebras induced by Jordan subgroups of their groups of automorphisms are provided.

On the topology of the exceptional Lie group G 2

Some Remarks on the Characters of the General Lie Superalgebra

Berele and Regev [1] defined the ring of hook Schur functions and showed that these functions are the characters of the general Lie superalgebra. Since the introduction of the hook Schur functions they have been extensively studied with respect to their combinatorial properties [2], [3], [4]. We compute the Hilbert series of this ring by giving a generating function for the partitions which fit...

Remarks on random walks on semi simple Lie groups

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The Five Exceptional Simple Lie Superalgebras of Vector Fields

The five simple exceptional complex Lie superalgbras of vector fields are described. One of them is new; the other four are explicitely described for the first time. All of the exceptional Lie superalgebras are obtained with the help of the Cartan prolongation or a generalized prolongation. The description of several of the exceptional Lie superalgebras is associated with the Lie superalgebra a...