Seminar talk, 13 May 2015: Difference between revisions
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Created page with "{{Talk | speaker = Sergey Tychkov | title = Invariants of solutions of associativity equation | abstract = The talk will discuss the associativity equation <math alt=u_{yyy} +..." |
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| speaker = Sergey Tychkov | | speaker = Sergey Tychkov | ||
| title = Invariants of solutions of associativity equation | | title = Invariants of solutions of associativity equation | ||
| abstract = The talk will discuss the associativity equation <math alt=u_{yyy} + u_{xxx}u_{xyy} - u_{xxy}^2 = 0>u_{yyy} + u_{xxx}u_{xyy} - u_{xxy}^2 = 0</math>. | | abstract = The talk will discuss the associativity equation <math alt="u_{yyy} + u_{xxx}u_{xyy} - u_{xxy}^2 = 0">u_{yyy} + u_{xxx}u_{xyy} - u_{xxy}^2 = 0</math>. | ||
We found the Lie algebras of symmetries of this equation, proved that its action is algebraic, and described the algebra of differential invariants of solutions of the associativity equation. Using the Lie-Bianchi theorem we found some solutions of the associativity equation. | We found the Lie algebras of symmetries of this equation, proved that its action is algebraic, and described the algebra of differential invariants of solutions of the associativity equation. Using the Lie-Bianchi theorem we found some solutions of the associativity equation. | ||
Latest revision as of 22:00, 7 May 2015
Speaker: Sergey Tychkov
Title: Invariants of solutions of associativity equation
Abstract:
The talk will discuss the associativity equation .
We found the Lie algebras of symmetries of this equation, proved that its action is algebraic, and described the algebra of differential invariants of solutions of the associativity equation. Using the Lie-Bianchi theorem we found some solutions of the associativity equation.