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edit approved May 9, 2014 at 18:58
user21574
edit approved May 9, 2014 at 18:58
user21574

Let A$A$ be a finite dimensional algebra over finite field (not necessarily associative). Then A$A$ is said to be homogeneous if Aut(A)$Aut(A)$ acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0$A^2=0$ or dimA=1$\text{dim}A=1$. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2)$GF(2)$. I want to know whether a simple lie algebra over GF(2)$GF(2)$ is homogeneous or not?

Let A be a finite dimensional algebra over finite field (not necessarily associative). Then A is said to be homogeneous if Aut(A) acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0 or dimA=1. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2). I want to know whether a simple lie algebra over GF(2) is homogeneous or not?

Let $A$ be a finite dimensional algebra over finite field (not necessarily associative). Then $A$ is said to be homogeneous if $Aut(A)$ acts transitively on the one-dimensional subspace of A. If A is homogeneous then either $A^2=0$ or $\text{dim}A=1$. Now I want to check this property for a finite dimensional simple Lie algebra over $GF(2)$. I want to know whether a simple lie algebra over $GF(2)$ is homogeneous or not?

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user118746
user118746
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Let A be a finite dimensional algebra over finite field (not necessarily associative). Then A is said to be homogeneous if Aut(A) acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0 or dimA=1. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2). I want to know whether a simple lie algebra over GF(2) is homogeneous or not?

Let A be a finite dimensional algebra over finite field (not necessarily associative). Then A is said to be homogeneous if Aut(A) acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0 or dimA=1. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2).

Let A be a finite dimensional algebra over finite field (not necessarily associative). Then A is said to be homogeneous if Aut(A) acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0 or dimA=1. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2). I want to know whether a simple lie algebra over GF(2) is homogeneous or not?

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user118746
user118746
  • 367
  • 1
  • 11

homogeneous algebras

Let A be a finite dimensional algebra over finite field (not necessarily associative). Then A is said to be homogeneous if Aut(A) acts transitively on the one-dimensional subspace of A. If A is homogeneous then either A^2=0 or dimA=1. Now I want to check this property for a finite dimensional simple Lie algebra over GF(2).