منابع مشابه
A weight basis for representations of even orthogonal Lie algebras
A weight basis for each finite-dimensional irreducible representation of the orthogonal Lie algebra o(2n) is constructed. The basis vectors are parametrized by the D-type Gelfand–Tsetlin patterns. The basis is consistent with the chain of subalgebras g1 ⊂ · · · ⊂ gn, where gk = o(2k). Explicit formulas for the matrix elements of generators of o(2n) in this basis are given. The construction is b...
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A Cliiord algebra model for MM obius geometry is presented. The notion of Ribaucour pairs of orthogonal systems in arbitrary dimensions is introduced , and the structure equations for adapted frames are derived. These equations are discretized and the geometry of the occuring discrete nets and sphere congruences is discussed in a conformal setting. This way, the notions of \discrete Ribaucour c...
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A Clifford algebra model for Möbius geometry is presented. The notion of Ribaucour pairs of orthogonal systems in arbitrary dimensions is introduced, and the structure equations for adapted frames are derived. These equations are discretized and the geometry of the occuring discrete nets and sphere congruences is discussed in a conformal setting. This way, the notions of “discrete Ribaucour con...
متن کاملq-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations
Deformed orthogonal and pseudo-orthogonal Lie algebras are constructed which differ from deformations of Lie algebras in terms of Cartan subalgebras and root vectors and which make it possible to construct representations by operators acting according to Gel’fand–Tsetlin-type formulas. Unitary representations of the q-deformed algebras Uq(son,1) are found. AMS subject classifications (1980). 16...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1984
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-48-1-103-110