LANGUAGE OF QUANTUM SPACES AND QUANTUM GROUPS

被引:27
作者
MALTSINIOTIS, G
机构
关键词
D O I
10.1007/BF02096770
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the foundations of the differential calculus in quantum geometry. The notions of (differential) quantum space and cone are introduced. Generalizing a construction of Manin, to a quantum cone we associate the quantum group of its ''linear automorphisms preserving the differentials'' and deduce a de Rham complex on this group. We give examples of differential calculi on quantum hyperplanes and quantum linear groups.
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页码:275 / 302
页数:28
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