Pierluigi Möseneder Frajria

activity

20152019

collaborators

7 papers

math.AG2019

Nilpotent orbits of height 2 and involutions in the affine Weyl group

Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi

Let G be an almost simple group over an algebraically closed field k of characteristic zero, let g be its Lie algebra and let B be a Borel subgroup of G. Then B acts with finitely…

math.RT2019

Conformal embeddings in affine vertex superalgebras

Dražen Adamović, Pierluigi Möseneder Frajria, Paolo Papi +1

This paper is a natural continuation of our previous work on conformal embeddings of vertex algebras [6], [7], [8]. Here we consider conformal embeddings in simple affine vertex su…

math.AG2018

The Bruhat order on abelian ideals of Borel subalgebras

Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria +1

Let G be a quasi simple algebraic group over an algebraically closed field k whose characteristic is not very bad for G, and let B be a Borel subgroup of G with Lie algebra b. Give…

math.RT2018

An application of collapsing levels to the representation theory of affine vertex algebras

Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2

We discover a large class of simple affine vertex algebras $V_{k} (g)$ , associated to basic Lie superalgebras $g$ at non-admissible collapsing levels $k$ , havin…

math.RT2016

Spherical nilpotent orbits and abelian subalgebras in isotropy representations

Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi

Let $G$ be a simply connected semisimple algebraic group with Lie algebra $g$ , let $G_{0} \subset G$ be the symmetric subgroup defined by an algebraic involution $σ$ and le…