Dirac operators on quantum flag manifolds

被引：29

作者：

Krähmer, U ^{[1
]}

机构：

[1] Univ Leipzig, Fak Math & Informat, D-04109 Leipzig, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2004年 / 67卷 / 01期

关键词：

noncommutative geometry; quantum homogeneous spaces;

D O I：

10.1023/B:MATH.0000027748.64886.23

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Dirac operator D on quantized irreducible generalized flag manifolds is defined. This yields a Hilbert space realization of the covariant first-order differential calculi constructed by I. Heckenberger and S. Kolb. All differentials df = i[D,f] are bounded operators. In the simplest case of Podles quantum sphere one obtains the spectral triple found by L. Dabrowski and A.

引用

页码：49 / 59

页数：11

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