On simple spectral modules over Leavitt path algebras
In this work we describe all simple modules over Leavitt path algebras as induced modules from irreducible representations of the isotropy groups.
math.RA↗
arXiv subjects
Nguyen Bich Van
Publications and source records attributed to Nguyen Bich Van.
The energy graph of the non linear Schrödinger equation
We discuss the stability of a class of normal forms of the completely resonant non--linear Schrödinger equation on a torus described in a previous paper. The discussion is essentially combinatorial and algebraic in nature. Thus this paper contains the proof of two Theorems of algebraic, combinatorial and geometric nature, which we need in order to prove stability of certain solutions of the non--linear Schrödinger (NLS) equation on a torus.
math.AP↗
Characteristic polynomials, related to the normal form of the non linear Schrödinger equation
We study the irreducibility of the characteristic polynomial of the energy graph of the non linear Schrödinger equation (NLS). This will be useful to the verification of the second Melnikov condition for NLS.
math.CO↗