منابع مشابه
Some Remarks on Producing Hopf Algebras
We report some observations concerning two well-known approaches to construction of quantum groups. Thus, starting from a bialgebra of inhomogeneous type and imposing quadratic, cubic or quartic commutation relations on a subset of its generators we come, in each case, to a q-deformed universal enveloping algebra of a certain simple Lie algebra. An interesting correlation between the order of i...
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A connected graph is λp,q-connected if there is a set of edges whose deletion leaves two components of order at least p and q, respectively. In this paper we present some sufficient conditions for graphs to be λp,q-connected. Furthermore, we study λ2,qconnected graphs in more detail.
متن کاملSome remarks on q-deformed multiple polylogarithms
We introduce general q-deformed multiple polylogarithms which even in the dilogarithm case differ slightly from the deformation usually discussed in the literature. The merit of the deformation as suggested, here, is that q-deformed multiple polylogarithms define an algebra, then (as in the undeformed case). For the special case of qdeformed multiple ζ-values, we show that there exists even a n...
متن کامل‘on Schur Algebras and Related Algebras Vi: Some Remarks on Rational and Classical Schur Algebras’
In a recent paper, Dipper and Doty, [2], introduced certain finite dimensional algebras, associated with the natural module of the general linear group and its dual, which they call rational Schur algebras. We give a proof, via tilting modules, that these algebra are in fact generalized Schur algebras. Using the same technique we show that certain finite dimensional algebras with classical grou...
متن کاملSome remarks on the GNS representations of topological ∗ - algebras
After an appropriate restatement of the GNS construction for topological ∗-algebras we prove that there exists an isomorphism among the set Cycl(A) of weakly continuous strongly cyclic ∗-representations of a barreled dual-separable ∗-algebra with unit A, the space HilbA(A ∗) of the Hilbert spaces that are continuously embedded in A∗ and are ∗-invariant under the dual left regular action of A an...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1972
ISSN: 0373-0956
DOI: 10.5802/aif.432