arXiv subjects

Yangjiang Wei

Publications and source records attributed to Yangjiang Wei.

3 recordsLinked to original sources

arXiv2023

Isomorphism Classes of Idempotent Evolution Algebras

We showed that isomorphism classes of idempotent evolution algebras are in bijection with the orbits of the semidirect product group of the symmetric group and the torus, considered the combinatoric problem of enumeration of isomorphism classes for these algebras over arbitrary finite fields, derived a general counting formula, and obtained explicit formulas for the numbers of isomorphism classes in dimensions 2, 3, and 4 over any finite field.

math.RA↗

arXiv2017

Inverses of Cartan Matrices of Lie Algebras and Lie Superalgebra

We derive explicit formulas for the inverses of the Cartan matrices of the simple Lie algebras and the basic classical Lie superalgebras, as well as for their infinite generalizations.

math.RT↗

arXiv2017

Dynamics of Linear Systems over Finite Commutative Rings

The dynamics of a linear dynamical system over a finite field can be described by using the elementary divisors of the corresponding matrix. It is natural to extend the investigation to a general finite commutative ring. In a previous publication, the last two authors developed an efficient algorithm to determine whether a linear dynamical system over a finite commutative ring is a fixed point system or not. The algorithm can also be used to reduce the problem of finding the cycles of such a system to the case where the system is given by an automorphism. Here, we further analyze the cycle structure of such a system and develop a method to determine its cycles.

math.RA↗