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Published in 2022 at "Communications in Algebra"
DOI: 10.1080/00927872.2023.2196337
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…
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Keywords:
lie algebras;
standard modules;
highest weights;
algebras types ... See more keywords
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1
Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac333b
Abstract: We introduce the h-adic quantum vertex algebras associated with the trigonometric R-matrices in types B, C and D, thus generalizing the well-known Etingof–Kazhdan construction in type A. We show that restricted modules for quantum affine…
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Keywords:
adic quantum;
algebras types;
vertex algebras;
types coordinated ... See more keywords