منابع مشابه
Remarks on Finite W Algebras
The property of some finite W algebras to be the commutant of a particular subalgebra of a simple Lie algebra G is used to construct realizations of G. When G ≃ so(4, 2), unitary representations of the conformal and Poincaré algebras are recognized in this approach, which can be compared to the usual induced representation technique. When G ≃ sp(2,R) or sp(4,R ), the anyonic parameter can be se...
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Introduction. In this paper we shall describe an effective procedure to determine in a finite number of steps whether two abstract algebras A' and A" of finite order have: (i) the same set of laws, (ii) the set of laws of one of them is included in the set of laws of the other, (iii) distinct sets of laws, (iv) overlapping sets of laws. The procedure is a generalization of certain results obtai...
متن کاملOn permutably complemented subalgebras of finite dimensional Lie algebras
Let $L$ be a finite-dimensional Lie algebra. We say a subalgebra $H$ of $L$ is permutably complemented in $L$ if there is a subalgebra $K$ of $L$ such that $L=H+K$ and $Hcap K=0$. Also, if every subalgebra of $L$ is permutably complemented in $L$, then $L$ is called completely factorisable. In this article, we consider the influence of these concepts on the structure of a Lie algebra, in partic...
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We develop a new centrality concept and apply it to solve certain outstanding problems about nite algebras. In particular, we describe all nite algebras of nite complexity and all nite strongly abelian algebras which generate residually small varieties.
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Using a combinatorial theorem of Herwig on extending partial isomorphisms of relational structures, we give a simple proof that certain classes of algebras, including Crs, polyadic Crs, and WA, have thè`nite base property' and have decidable universal theories, and that any nite algebra in each class is representable on a nite set.
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 1996
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.1996.125948