Hilbert series of typical representations for Lie superalgebras
Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbert series whose coefficients encode the dimensions of finite-dimensional irreducible typical g-representations. We give...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | Let g be a basic classical Lie superalgebra over C. In the case of a typical
weight whose every nonnegative integer multiple is also typical, we compute a
closed form for the Hilbert series whose coefficients encode the dimensions of
finite-dimensional irreducible typical g-representations. We give a formula for
this Hilbert series in terms of elementary symmetric polynomials and Eulerian
polynomials. Additionally, we show a simple closed form in terms of
differential operators. |
---|---|
DOI: | 10.48550/arxiv.2011.02185 |