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Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$ (1803.06733v2)
Published 18 Mar 2018 in math.QA and math.RT
Abstract: We construct combinatorial bases of principal subspaces of standard modules of level $k \geq 1$ with highest weight $k\Lambda_0$ for the twisted affine Lie algebras of type $A_{2l-1}{(2)}$, $D_l{(2)}$, $E_6{(2)}$ and $D_4{(3)}$. Using these bases we directly calculate characters of principal subspaces.