Affiliation:
1. Faculté des Sciences de Sfax, Département de Mathématiques, Route de Soukra, 3038 Sfax, Tunisia
Abstract
Approximating the algebra of complex-valued smooth functions on a space-time manifold by a sequence of matrix algebras [Formula: see text], with dN ↗ ∞, is the basic idea of fuzzy manifolds. In this paper, we explicitly construct fuzzy versions of the homogeneous spaces SO(2n + 1)/U(n) and Sp (n)/U(1) × Sp (n - 1) for n ≥ 2. This allows us to extend a result of Zhang giving a construction of fuzzy irreducible compact Hermitian symmetric spaces to a class of flag manifolds.
Publisher
World Scientific Pub Co Pte Lt
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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