منابع مشابه
Generalized Fischer Groups and Algebras
Introduction. In this paper we shall be concerned with the structure of the rational representation of certain sets of matrices, to which we give the name generalized Fischer sets. If K is any field, any fixed automorphism of K, and A any matrix with elements in K, we use the notation A* for the 0-automorph of A ; that is, the matrix obtained from A by subjecting each of its elements to the...
متن کاملAddendum to the Paper "generalized Fischer Groups and Algebras"
The author regrets the omission, in a paper which recently appeared, of an important reference to a paper by N. Jacobson. Indeed Lemma I l i a of the author's paper, and its immediate consequence, Theorem I, are rather special cases (albeit independently obtained) of Theorem I of the latter paper. Accordingly Professor Jacobson's name should have appeared in the introduction along with those of...
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It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra [1],[3],[13]. We show that the Poisson Lie algebra can be embedded properly in the special type Lie algebra [13]. We also generalize the Hamitonian Lie algebra using exponential functions, and we show that these Lie algebras are simple.
متن کاملIsomorphism Problems and Groups of Automorphisms for Generalized Weyl Algebras
We present solutions to isomorphism problems for various generalized Weyl algebras, including deformations of type-A Kleinian singularities 14] and the algebras similar to U(sl 2) introduced in 31]. For the former, we generalize results of Dixmier 11, 12] on the rst Weyl algebra and the minimal primitive factors of U(sl 2) by nding sets of generators for the group of automorph-isms.
متن کاملNEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES
The purpose of this paper is to introduce new methods for constructing generalized groups, generalized topological groups and top spaces. We study some properties of these structures and present some relative concrete examples. Moreover, we obtain generalized groups by using of Hilbert spaces and tangent spaces of Lie groups, separately.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1942
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1942-07748-2