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A twisted generalization of Lie-Yamaguti algebras
Lie-Yamaguti algebra (i.e. generalized Lie triple system
2011/1/17
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and subsequently ternary Hom-Nambu algebra...
On a Generalization of the Flag Complex Conjecture of Charney and Davis
Coxeter group Charney-Davis Conjecture Flag Complex Conjecture
2010/11/30
The Flag Complex Conjecture of Charney and Davis states that for a simplicial complex S which triangulates a (2n − 1)-generalized homology sphere as a flag complex one has (−1)nP2S⣵...
The Wigner Band Random Matrix Model: Studied from the View Point
of a Generalization of Brillouin- Wigner Perturbation Theory
generalization of perturbation theory
energy eigenfunction local spectral density of states
2007/8/15
2001Vol.35No.2pp.143-150DOI:
The Wigner Band Random Matrix Model: Studied from the View Point
of a Generalization of Brillouin- Wigner Perturbation Theory
WANG Wen-Ge
De...
A Generalization of Ankeny and Rivlin's Result on the Maximum Modulus of Polynomials not Vanishing in the Interior of the Unit Circle
Polynomial maximum modulus principle not vanishing in the interior of unit circle generalization sth derivative
2010/2/26
For an arbitrary entire function f(z), let M(f,r) = max|z|=r|f(z)|. For a polynomial p(z) of degree n, it is known that M(p,R) \leq Rn M(p,1), R > 1. By considering the polynomial p(z) with no zeros i...
A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal
Torsion-Free Groups Subgroups Subnormal
2010/2/26
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, ...