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Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
Difference equations cluster algebras Poisson bracket for integrable difference equations
2011/2/28
We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Li-ouville equation, from the view point of the general T-s...
On complements and the factorization problem for Hopf algebras
Normal Hopf subalgebras Semi-direct product
2011/1/20
Two new results concerning complements in a semisim-ple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type
decomposition is pro...
Line integration and second order partial differential equations over Cayley-Dickson algebras
Line integration second order partial differential equations Cayley-Dickson algebras
2010/12/3
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...