Indecomposable decompositions of modular standard modules for two families of association schemes
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-017-0758-2
Abstract: We investigate the indecomposable decomposition of the modular standard modules of two families of association schemes of finite order. First, we show that, for each prime number p, the standard module over a field F… read more here.
Keywords: modules two; association schemes; modular standard; two families ... See more keywords
Combinatorial bases of standard modules of twisted affine Lie algebras in types A2l−1(2) and Dl+1(2) : rectangular highest weights
Sign Up to like & getrecommendations! 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… read more here.
Keywords: lie algebras; standard modules; highest weights; algebras types ... See more keywords