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An evolution algebra in population genetics
(Elsevier Inc., 2014)
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. ...
Classes de isotopismos de álgebras de evolução e genéticasClasses of isotopisms of evolution and genetic algebras
(Universidade Federal de Viçosa, 2021)
Evolution algebras and graphs
(World Scientific Publ, 2015)
A digraph is attached to any evolution algebra. This graph leads to some new purely algebraic results on this class of algebras and allows for some new natural proofs of known results. Nilpotency of an evolution algebra ...
On nilpotent evolution algebras
(Elsevier, 2016)
The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily computed from any natural basis. Some ...
Evolution algebras, automorphisms, and graphs
(Taylor and Francis Ltd., 2019)
The affine group scheme of automorphisms of an evolution algebra ε with ε 2 is shown to lie in an exact sequence → D → Aut(E) → S, where D, diagonalizable, and S, constant, depend solely on the directed graph associated ...
Cyclic representations of the periodic Temperley-Lieb algebra, complex Virasoro representations and stochastic processes
(Institute of Physics - IOPBristol, 2014-05)
An N (L L/2)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a representation of the cyclic group ZN. We choose x = 1 and define a Hamiltonian as a sum of the generators ...
ON AMINO ACID AND CODON ASSIGNMENT IN ALGEBRAIC MODELS FOR THE GENETIC CODE
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2010)
We give a list of all possible schemes for performing amino acid and codon assignments in algebraic models for the genetic code, which are consistent with a few simple symmetry principles, in accordance with the spirit of ...
Evolution of probability measures by cellular automata on algebraic topological Markov chains
(Sociedad de Biología de Chile, 2003)