Weyl Algebras
Mostrando 1-7 de 7 artigos, teses e dissertações.
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1. C*-Álgebras e a Descrição da Mecânica Quântica
Neste artigo apresentamos a Teoria das C *-Álgebras. Demonstramos dois importantes resultados que são: o Teorema de Gelfand, que associa toda C *-Álgebra Abeliana às funções contínuas sobre um espaço Hausdorff compacto, e o Teorema de Gelfand-Neumark, que relaciona toda C *-Álgebra não Abeliana aos operadores lineares sobre um espaço de
Rev. Bras. Ensino Fís.. Publicado em: 22/01/2018
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2. Grupos de Lie compactos / Compact Lie groups
Neste trabalho apresentamos os principais resultados da teoria dos grupos de Lie compactos e provamos o Teorema de Weyl sobre os seus grupos fundamentais.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 20/04/2011
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3. Ideais de anéis de operadores diferenciais / Ideals of rings of differential operators
In [12] J.T. Stafford proved that every left or right ideal of the Weyl algebra \ A IND. n\ (K) = K[\ x IND. 1\ , ...\ x IND. n\ ](\ partial IND. 1, ...\ partial IND. n\ )(K a field of characteristic zero) is generated by two elements. Consider the ring \ D IND. n\ := K[[\ x IND. 1\ , ...\ x IND.n\ ]](\ partial IND. 1\", ...\ partial IND. n) of differential
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 07/04/2011
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4. Algumas conjecturas sobre ideais principais maximais de álgebras de Weyl / Some conjectures about principal maximal ideals of the Weyl álgebra
Let d: =\partial//\partial IND.x+ beta\partial IND.ybe a simple derivation of K[x,y], where K is a field of characteristic zero. Doering, Lequain e Ripol ([1]) proved that there exists a polynomial um gamaIT BELONGSK[x,y] such that the operador S =\partial/\partial x+beta\partial/\partial ygamaIT BELONGSá ind.2:= K[x,y]<\partial/partial IND.x,partial/partia
Publicado em: 2006
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5. Lie algebras and classical partition identities
In this paper we interpret Macdonald's unspecialized identities as multivariable vector partition theorems and we relate the well-known Rogers—Ramanujan partition identities to the Weyl—Kac character formula for an infinite-dimensional Euclidean generalized Cartan matrix Lie algebra.
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6. Laplace operators of infinite-dimensional Lie algebras and theta functions
Until recently, the generalized Casimir operator constructed by Kac [Kac, V. G. (1974) Funct. Anal. Appl. 8, 68-70] has been the only known element of the center of a completion of the enveloping algebra of a Kac-Moody algebra. It has been conjectured [Deodhar, V. V., Gabber, O. & Kac, V. G. (1982) Adv. Math. 45, 92-116], however, that the image of the Haris
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7. Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
In this paper, we launch a program to describe and classify modular invariant representations of infinite-dimensional Lie algebras and superalgebras. We prove a character formula for a large class of highest weight representations L(λ) of a Kac-Moody algebra [unk] with a symmetrizable Cartan matrix, generalizing the Weyl-Kac character formula [Kac, V. G. (1