Enveloping algebras of Lie groups with discrete series
نویسندگان
چکیده
منابع مشابه
Enveloping Algebras of Hom-lie Algebras
A Hom-Lie algebra is a triple (L, [−,−], α), where α is a linear self-map, in which the skew-symmetric bracket satisfies an α-twisted variant of the Jacobi identity, called the Hom-Jacobi identity. When α is the identity map, the Hom-Jacobi identity reduces to the usual Jacobi identity, and L is a Lie algebra. Hom-Lie algebras and related algebras were introduced in [1] to construct deformation...
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In recent papers J. Bergen and D. S. Passman have applied so-called`Delta methods' to enveloping algebras of Lie superalgebras. This paper generalizes their results to the class of Lie colour algebras. The methods and results in this paper are very similar to those of Bergen and Passman, and many of their proofs generalize easily. However, at some points there are serious diiculties to overcome...
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It is well known that the standard bracketings of Lyndon words in an alphabet A form a basis for the free Lie algebra Lie(A) generated by A . Suppose that g 2 Lie(A)/J is a Lie algebra given by a generating set A and a Lie ideal J of relations. Using a Grobner basis type approach we define a set of "standard" Lyndon words, a subset of the set Lyndon words, such that the standard bracketings of ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1992
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1992.156.1