From the 1 of 6 linked papers with an AI index.
6 papers
Irreducible non-holonomic modules for rational Cherednik algebras
Felipe Albino dos Santos, João Schwarz
The authors construct explicit irreducible non‑holonomic modules of Gelfand‑Kirillov dimension 2n‑1 for invariant differential operators of Weyl algebras under complex reflection g…
A Sugawara--Legendre mechanism for the four-point Heisenberg algebra
Felipe Albino dos Santos
This paper provides a representation-theoretic explanation for the recent discovery that families of orthogonal polynomials arise in the centers of universal central extensions of…
A partial dictionary between universal central extensions and orthogonal polynomials in the superelliptic Krichever--Novikov setting
Felipe Albino dos Santos
Let , let have simple roots, and let be the coordinate ring of the associated superelliptic curve…
Irreducible -Verma modules for hyperelliptic Heisenberg algebras
Felipe Albino dos Santos
We study induced representations of the universal central extension , where $R = \mathbb{C}[t^{\pm 1}, u]/(u^…
Free Field Realizations of Superelliptic Affine Lie Algebras
Felipe Albino dos Santos
We study Wakimoto-type free field constructions for superelliptic affine Lie algebras associated with coordinate rings , focusing on $\mat…
Superelliptic Affine Lie algebras and orthogonal polynomials II
Felipe Albino dos Santos, Mikhail Neklyudov, Vyacheslav Futorny
Let be a finite-dimensional complex simple Lie algebra and . The universal central extension of the superelliptic current algebra i…