Derivations of Lotka-Volterra algebras

Boujemaa, H., Rachidi, M., Micali, A.: Sur les algbres de Lotka-Volterra. Algebras Gr. Geom. 10, 169–180 (1993)

Boujemaa, H., Rachidi, M., Micali, A.: Automorphisms in Lotka-Volterra algebras. Algebras Gr. Geom. 18, 203–222 (2001)

Boujemaa, H., Rachidi, M., Micali, A.: Dérivations dans les algbres de Lotka-Volterra. Algebras Gr. Geom. 2, 471–487 (2004)

Fernandez, Juan, C.Gutierrez: Solution of the Bernstein problem in the non-regular case. J. Algebra 223, 109–132 (2000)

Fernandez, Juan, C.Gutierrez: Nuclear Bernstein algebras with a stochastic basis. J. Algebra 217, 300–311 (1999)

Fernandez, Juan C. Gutierrez, Garcia, Claudia I.: Antisymetric matrices and Lotka-Volterra algebras, arXiv:1801.08888

Ganikhodzhaev, R., Mukhamedov, F., Pirnapasov, A., Qaralleh, I.: Genetic Volterra algebras and their derivations. Commun. Algebra (2017). https://doi.org/10.1080/00927872.2017.1347663

Holgate, P.: Genetic algebras satisfying Bernstein’s stationary principle. J. London Math. Soc. 9, 621–624 (1975)

Holgate, P.: The interpretation of derivations in genetic algebras. Linear Algebra Appl. 85, 75–79 (1987)

Itoh, Y.: Nonassociative algebra and Lotka-Volterra equation with ternary interaction. Nonlinear Anal. 5, 53–56 (1981)

Kadison, R.V.: Local derivations. J. Algebra 130, 494–509 (1990)

Kimura, M.: On the change of population fitness by natural selection. Heredity 12, 145–167 (1958)

Ho-Hon Leung, Derivation on four dimensional genetic Volterra algebra, arXiv:1712.09301v1

Lyubich, Y.: Mathemmatical structures in population genetics. Springer, Berlin (1983)

Mather, K.: Selection through competition. Heredity 24, 529–540 (1969)

Yoon, S.I.: Automorphisms of Lotka-Volterra algebras. Commun. Korean Math. Soc. 12, 45–50 (1997)

Yoon, S.I.: Idempotent elements in the Lotka-Volterra algebra. Commun. Korean Math. Soc. 10, 123 (1995)