3 papers
math.RT2026
Classification of marked elliptic root systems with non-reduced quotient
A. Fialowski, K. Iohara, Y. Saito
K. Saito (Publ. RIMS 21 (1), 1985, 75-179) has introduced a class of root systems called elliptic root systems which lies in the real vector space with a metric whose signa…
math.RT2025
Hidden -symmetry in
K. Iohara, Y. Saito
A well-known \(Î_θ\)-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 \(\mat…
math.RT2025
Macdonald Identities: revisited
K. Iohara, Y. Saito
In this note, after recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.