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Essential dimension of simple algebras in positive characteristic
Essential dimension simple algebras positive characteristic
2011/2/24
Let p be a prime integer, 1 ≤ s ≤ r integers, F a field of characteristic p.
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
Exactly Solvable and Integrable Systems(nlin.SI) Mathematical Physics(math-ph)
2010/11/10
We give a complete point-symmetry classification of all third-order evolution equations of the form $u_t=F(t,x,u,u_x, u_{xx})u_{xxx}+G(t,x,u,u_x, u_{xx})$ which admit semi-simple symmetry algebras and...
Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Derivation-Simple Algebras Structures Lie Algebras of Witt Type
2010/11/1
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associati...