Imposing rank-one and rank-two shift conditions on symmetric and skew-symmetric moment matrices yields the C-Toda and B-Toda hierarchies with explicit Lax matrices, and shows the Pfaff lattice is the large BKP hierarchy.
Frobenius manifolds and a new class of extended affine Weyl groups $\widetilde{W}^{(k,k+1)}(A_l)$
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We present a new class of extended affine Weyl groups $\widetilde{W}^{(k,k+1)}(A_l)$ for $1\leq k <l$ and obtain an analogue of Chevalley-type theorem for their invariants. We further show the existence of Frobenius manifold structures on the orbit spaces of $\widetilde{W}^{(k,k+1)}(A_l)$ and also construct Landau--Ginzburg superpotentials for these Frobenius manifold structures.
fields
nlin.SI 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Rank shift conditions and reductions of 2d-Toda theory
Imposing rank-one and rank-two shift conditions on symmetric and skew-symmetric moment matrices yields the C-Toda and B-Toda hierarchies with explicit Lax matrices, and shows the Pfaff lattice is the large BKP hierarchy.