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Showing 1 to 6 of 6 for “"Rings and Algebras"”.
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Representation of non-commutative topological algebras
The well known Gelfland-Naimark theorem enables us to represent a complex commutative C*-algebra as a full algebra of complex valued functions defined on its set of primitive ideals which is called the structure space of the algebra. In is thesis we are concerned with the generalization of this …
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Untersuchungen zu James' Vermutung über Iwahori-Hecke-Algebren vom Typ A
… with a conjecture by Gordon James from 1990 and a variant by Meinolf Geck about decomposition maps of the generic Iwahori-Hecke algebra H of the symmetric group on n points arising from specialization to characteristic l>0. If the parameter of the algebra is specialized to an element q of …
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Formalizing Clifford algebras and related constructions in the Lean theorem prover
… framework used primarily by engineers and physicists, while theorem proving software has its background originally in computer science departments. This thesis brings the former into the language of the latter, in the more abstract setting of Clifford algebras. It does so via the …
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Properties of Polynomial Identity Quantized Weyl Algebras
… work on Polynomial Identity (PI) quantized Weyl algebras we begin with a brief survey of Poisson geometry and quantum cluster algebras, before using these as tools to classify the possible centers of such algebras in two different ways. In doing so we explicitly calculate the formulas of the …
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Relaciones entre la estructura de un álgebra de Lie y el retículo de sus ideales
… In the first chapter, some classes of Lie algebras are selected. It is studied if their lattices of ideals can determinate their algebraic structures. In the second chapter, two classes of lattices are studied: the complemented lattices and the lattices such their elements are in line. We …
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Estructura reticular y cuasiideal en álgebras alternativas
The lattice of subalgebras of an alternative algebra can determinate the algebraic structure of the algebra. In the first chapter, it is showed that, an alternative algebra with lattice of subalgebras isomorphic to a non division semisimple alternative algebra, is closely related with it. In the …