30 citations · 93 across the 15 of their papers we have counts for
16 papers
Grothendieck rings of towers of generalized Weyl algebras in the finite orbit case
Jonas T. Hartwig, Daniele Rosso
Previously we showed that the tensor product of a weight module over a generalized Weyl algebra (GWA) with a weight module over another GWA is a weight module over a third GWA. In…
Weight modules over Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
We study a class of -graded algebras introduced by Bell and Rogalski. Their construction generalizes in large part that of rank one generalized Weyl algebras (GWAs). We…
Fixed rings of twisted generalized Weyl algebras
Jason Gaddis, Daniele Rosso
Twisted generalized Weyl algebras (TGWAs) are a large family of algebras that includes several algebras of interest for ring theory and representation theory, such as Weyl algebras…
Grothendieck rings of towers of twisted generalized Weyl algebras
Jonas T. Hartwig, Daniele Rosso
Twisted generalized Weyl algebras (TGWAs) are defined over a base ring by parameters and , where is an -tuple of automorphisms, and is an -tuple…
Classification of twisted generalized Weyl algebras over polynomial rings
Jonas T. Hartwig, Daniele Rosso
Let be a polynomial ring in variables over a field of characteristic zero. We classify all rank twisted generalized Weyl algebras over , up to -graded…
Quantum affine wreath algebras
Daniele Rosso, Alistair Savage
To each symmetric algebra we associate a family of algebras that we call quantum affine wreath algebras. These can be viewed both as symmetric algebra deformations of affine Hecke…
Irreducible Components of Exotic Springer fibres II: The Exotic Robinson-Schensted Algorithm
Vinoth Nandakumar, Daniele Rosso, Neil Saunders
Kato's exotic nilpotent cone was introduced as a substitute for the ordinary nilpotent cone of type C with cleaner properties. The geometric Robinson-Schensted correspondence is ob…
Irreducible components of exotic Springer fibres
Vinoth Nandakumar, Daniele Rosso, Neil Saunders
Kato introduced the exotic nilpotent cone to be a substitute for the ordinary nilpotent cone of type C with cleaner properties. Here we describe the irreducible components of exoti…
A graphical calculus for the Jack inner product on symmetric functions
Anthony Licata, Daniele Rosso, Alistair Savage
Starting from a graded Frobenius superalgebra , we consider a graphical calculus of -decorated string diagrams. From this calculus we produce algebras consisting of closed pl…
Cylindrical Dyck paths and the Mazorchuk-Turowska equation
Jonas T. Hartwig, Daniele Rosso
We classify all solutions (p,q) to the equation p(u)q(u)=p(u+b)q(u+a) where p and q are complex polynomials in one indeterminate u, and a and b are fixed but arbitrary complex numb…
A general approach to Heisenberg categorification via wreath product algebras
Daniele Rosso, Alistair Savage
We associate a monoidal category , defined in terms of planar diagrams, to any graded Frobenius superalgebra . This category acts naturally on modules over the wr…
Towers of graded superalgebras categorify the twisted Heisenberg double
Daniele Rosso, Alistair Savage
We show that the Grothendieck groups of the categories of finitely-generated graded supermodules and finitely-generated projective graded supermodules over a tower of graded supera…
Twisted Heisenberg doubles
Daniele Rosso, Alistair Savage
We introduce a twisted version of the Heisenberg double, constructed from a twisted Hopf algebra and a twisted Hopf pairing. We state a Stone--von Neumann type theorem for a natura…
The mirabolic Hecke algebra
Daniele Rosso
The Iwahori-Hecke algebra of the symmetric group is the convolution algebra of $\gl_n$-invariant functions on the variety of pairs of complete flags over a finite field. Considerin…
Classic and mirabolic Robinson-Schensted-Knuth correspondence for partial flags
Daniele Rosso
In this paper we first generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and th…
Robinson-Schensted-Knuth correspondence in the geometry of partial flag varieties
Daniele Rosso
In this paper we generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irre…