131 citations · 167 across the 15 of their papers we have counts for
8 papers · 1 filter
Irreducible modules over finite simple Lie pseudoalgebras IV. Non-primitive pseudoalgebras
Alessandro D'Andrea
Let d \subset d' be finite-dimensional Lie algebras, H = U(d), H'=U(d') the corresponding universal enveloping algebras endowed with the cocommutative Hopf algebra structure. We sh…
Connectedness and irreducibility of compact quantum groups
Alessandro D'Andrea, Claudia Pinzari, Stefano Rossi
We show that a natural notion of irreducibility implies connectedness in the Compact Quantum Group setting. We also investigate the converse implication and show it is related to K…
Finiteness and orbifold Vertex Operator Algebras
Alessandro D'Andrea
In this paper, I investigate the ascending chain condition of right ideals in the case of vertex operator algebras satisfying a finiteness and/or a simplicity condition. Possible a…
Connected components of compact matrix quantum groups and finiteness conditions
Lucio S. Cirio, Alessandro D'Andrea, Claudia Pinzari +1
We introduce the notion of identity component of a compact quantum group and that of total disconnectedness. As a drawback of the generalized Burnside problem, we note that totally…
A root space decomposition for finite vertex algebras
Alessandro D'Andrea, Giuseppe Marchei
Let L be a Lie pseudoalgebra, a in L. We show that, if a generates a (finite) solvable subalgebra S=<a>, then one may find a lifting a' in S of [a] in S/S' such that <a'> is nilpot…
Finite vertex algebras and nilpotence
Alessandro D'Andrea
I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebr…