The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type.
Simple Lie Algebras over Fields of Positive Characteristic Structure Theory Free Download
April 20, 2022
![Simple Lie Algebras over Fields of Positive Characteristic Structure Theory Simple Lie Algebras over Fields of Positive Characteristic Structure Theory](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbQVmw5uKovn1fB0L7kHSLmDa4OTpt_OR4Ls9hv6DF2Lni4cR4rWEUoK0iS_RuEA433LWl63ur-dmVWVbCnBOUERngfaVQKRBlhU3Nr5uvEjrFQcbZqqXhKltVXSV0s0TyfnSXCr8M1I-0jF5AojGDEfj43I9bSH0wzBwTuCQLXLTLZAM_TFh-lXZ9/s320/Simple%20Lie%20Algebras%20over%20Fields%20of%20Positive%20Characteristic%20Structure%20Theory.jpg)
You may also like
Elementary Algebra is a highly respected, one-year high school curriculum offering practical, real-life applications in an easy to follow format. Students will...
ALGEBRA MATHEMATICS
Early Algebra Research into its Nature, its Learning, its Teaching by Carolyn Kieran PDF
June 23, 2024
This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its...
“Your world is profoundly mathematical.” Bob Blitzer continues to support and inspire students with his friendly approach, making Algebra and...
Recent Posts
- Nuclear Physics Exploring the Heart of Matter PDF
- Applied Physics Crash Course by Arthur Beiser PDF
- Variational Principles in Physics by Jean-Louis Basdevant PDF
- Analytical Chemistry by Dhruba Charan Dash PDF
- Handbook of Modern Sensors Physics, Designs, and Applications 3rd Edition by Jacob Fraden PDF
Add Comment