arXiv:2502.03316·math.RT·February 6, 2025
Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$
K. Iohara, Y. Saito
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Abstract
A well-known \(\Gamma_\theta\)-action on the characters of integrable highest weight modules over the affine Lie algebra of type \(BC_l^{(2)}\) at a positive level is extended to an \(\mathrm{SL}_2(\mathbb{Z})\)-action at a positive even level by supplementing their twisted characters.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons