13 citations · 38 across the 10 of their papers we have counts for
12 papers
From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds
Yassir Dinar
We construct a new local Poisson bracket compatible with the second unconstrained Adler-Gelfand-Dickey bracket. The resulting bihamiltonian structure admits a dispersionless limit…
Low dimensional bihamiltonian structures of topological type
Yassir Dinar
We construct local bihamiltonian structures from classical -algebras associated to non-regular nilpotent elements of regular semisimple type in Lie algebras of type and $A…
Frobenius manifolds on orbits spaces
Zainab Al-Maamari, Yassir Dinar
The orbits space of an irreducible linear representation of a finite group is a variety whose coordinate ring is the ring of invariant polynomials. Boris Dubrovin proved that the o…
Conjugate Frobenius manifold and inversion symmetry
Zainab Al-Maamari, Yassir Dinar
We give a conjugacy relation on certain type of Frobenius manifold structures using the theory of flat pencils of metrics. It leads to a geometric interpretation for the inversion…
Dicyclic groups and Frobenius manifolds
Yassir Dinar, Zainab Al-Maamari
The orbits space of an irreducible representation of a finite group is a variety whose coordinate ring is finitely generated by homogeneous invariant polynomials. Boris Dubrovin sh…
Weights of Semiregular Nilpotents in Simple Lie Algebras of D Type
Yassir Dinar
We compute the weights of the adjoint action of semiregular -triples in simple Lie algebras of type using mathematical induction.