969 resultados para LIE-ALGEBRAS


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Suspended publication 1914-22.

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Block print.

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"Wang shi ji Lie nü zhuan"--Pref.

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The letter, p. [2]-4, from the Treasury Dept. Revenue Office is signed by Samuel Smith.

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T. 1 by J. J. Raikem and M. L. Polain; t. 2 by the same and S. Bormans; t. 3 by L. Crahay and S. Bormans.

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t. 1. Théorie de l'électricité et du magnétisme. Électronométrie. Théorie et construction des génerateurs et des transformateurs électriques.--t. 2. Canalisation et distribution de l'énergie électrique. Applications de l'electricité a la production et a la transmission de la puissance motrice à la traction, à la télégraphie, a la téléphonie, a l'éclairage et a la métallurgie.

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The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties are discussed. A new type of quasi-bicrossed products is constructed by means of weak Hopf skew-pairs of the weak Hopf algebras which are generalizations of the Hopf pairs introduced by Takeuchi. As a special case, the quantum double of a finite dimensional biperfect (noncocommutative) weak Hopf algebra is built. Examples of quantum doubles from a Clifford monoid as well as a noncommutative and noncocommutative weak Hopf algebra are given, generalizing quantum doubles from a group and a noncommutative and noncocommutative Hopf algebra, respectively. Moreover, some characterizations of quantum doubles of finite dimensional biperfect weak Hopf algebras are obtained. (C) 2004 American Institute of Physics.

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For each quantum superalgebra U-q[osp(m parallel to n)] with m > 2, an infinite family of Casimir invariants is constructed. This is achieved by using an explicit form for the Lax operator. The eigenvalue of each Casimir invariant on an arbitrary irreducible highest weight module is also calculated. (c) 2005 American Institute of Physics.