منابع مشابه
Solvability of the G2 Integrable System
It is shown that the 3-body trigonometric G2 integrable system is exactlysolvable. If the configuration space is parametrized by certain symmetric functions of the coordinates then, for arbitrary values of the coupling constants, the Hamiltonian can be expressed as a quadratic polynomial in the generators of some Lie algebra of differential operators in a finite-dimensional representation. Four...
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15 صفحه اولMatroid Automorphisms of the F4 Root System
Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group of this matroid and compare it to the Coxeter group W for the root system. We find non-geometric automorphisms that preserve the matroid but not the root system.
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We consider second order elliptic divergence form systems with complex measurable coefficients A that are independent of the transversal coordinate, and prove that the set of A for which the boundary value problem with L2 Dirichlet or Neumann data is well posed, is an open set. Furthermore we prove that these boundary value problems are well posed when A is either Hermitean, block or constant. ...
متن کاملMatroid Automorphisms of the Root System F4
Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group of this matroid and compare it to the Coxeter group W for the root system. We find non-geometric automorphisms that preserve the matroid but not the root system.
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2001
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x0100550x