Search

We prove that higher level Zhu algebras of a vertex operator algebra are isomorphic to subquotients of its universal enveloping algebra. [ABSTRACT FROM AUTHOR]

We define a solvable extension of the graph 2-step nilpotent Lie algebras of [5] by adding elements corresponding to the 3-cliques of the graph. We study some of their basic properties and we prove that two such Lie algebras are isomorphic if and only if their graphs are isomorphic. We also briefly discuss some metric properties, providing examples of homogeneous spaces with nonpositive curvature operator and solvsolitons. [ABSTRACT FROM AUTHOR]

This paper classifies quasiprimitive permutation groups with a transitive subgroup which is isomorphic to A n for some n ⩾ 5 . [ABSTRACT FROM AUTHOR]

Let G be a finite group. An element g of G is called a vanishing element if there exists an irreducible character χ of G such that χ ( g ) = 0 ; in this case, we say that the conjugacy class of g is a vanishing conjugacy class. In this paper, we discuss some arithmetical properties concerning the sizes of the vanishing conjugacy classes in a finite group. [ABSTRACT FROM AUTHOR]