BGG diagrams for contact graded odd dimensional orthogonal geometries
Svatopluk Krýsl (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Hasse graphs and parabolic subalgebras of exceptional Lie algebra ”
BGG diagrams for contact graded odd dimensional orthogonal geometries
Hasse diagrams for parabolic geometries
Krump, Lukáš, Souček, Vladimír
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The invariant differential operators on a manifold with a given parabolic structure come in two classes, standard and non-standard, and can be further subdivided into regular and singular ones. The standard regular operators come in repeated patterns, the Bernstein-Gelfand-Gelfand sequences, described by Hasse diagrams. In this paper, the authors present an alternative characterization of Hasse diagrams, which is quite efficient in the case of low gradings. Several examples are given. ...
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
Sergei Silvestrov (1996)
Studia Mathematica
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The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
-graded Lie superalgebras of infinite depth and finite growth
Nicoletta Cantarini (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In 1998 Victor Kac classified infinite-dimensional -graded Lie superalgebras of finite depth. We construct new examples of infinite-dimensional Lie superalgebras with a -gradation of infinite depth and finite growth and classify -graded Lie superalgebras of infinite depth and finite growth under suitable hypotheses.