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We consider the standard modules of rectangular highest weights of affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$. By using vertex algebraic techniques we construct the combinatorial bases for standard… Click to show full abstract
We consider the standard modules of rectangular highest weights of affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$. By using vertex algebraic techniques we construct the combinatorial bases for standard modules and their principal subspaces and parafermionic spaces. Finally, we compute the corresponding character formulae and, as an application, we obtain two new families of combinatorial identities.
Keywords:
lie algebras;
standard modules;
highest weights;
algebras types;
affine lie;
rectangular highest
Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!