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arXiv · 1902.10794

Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$

Marijana Butorac·Slaven Kožić
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Abstract

We consider the principal subspaces of certain level $k\geqslant 1$ integrable highest weight modules and generalized Verma modules for the untwisted affine Lie algebras in types $D$, $E$ and $F$. Generalizing the approach of G. Georgiev we construct their quasi-particle bases. We use the bases to derive presentations of the principal subspaces, calculate their character formulae and find some new combinatorial identities.

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Marijana Butorac, Slaven Kožić. 2019-02-27. Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$. https://doi.org/10.1007/s10801-022-01146-x

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