P. Damianou

activity

20022018

most citedMultiple Hamiltonian Structures for Toda-type systems

42 citations · 206 across the 23 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.RT2011★ 3 cited

On the characteristic polynomial of Cartan matrices and Chebyshev polynomials

Pantelis A. Damianou

We explore some interesting features of the characteristic polynomial of the Cartan matrix of a simple Lie algebra. The characteristic polynomial is closely related with the Chebys…

math.DG2011★ 16 cited

Poisson brackets with prescribed Casimirs

Pantelis A. Damianou, Fani Petalidou

We consider the problem of constructing Poisson brackets on smooth manifolds $M$ with prescribed Casimir functions. If $M$ is of even dimension, we achieve our construction by cons…

math.NT2011★ 2 cited

On prime values of cyclotomic polynomials

Pantelis A. Damianou

We present several approaches on finding necessary and sufficient conditions on $n$ so that $Φ_{k} (x^{n})$ is irreducible where $Φ_{k}$ is the $k$ -th cyclotomic polynomial.