LANGUAGE OF QUANTUM SPACES AND QUANTUM GROUPS

被引：27

作者：

MALTSINIOTIS, G

机构：

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 151卷 / 02期

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

相关论文

共 54 条

[1] FINITENESS OF A COHOMOLOGY ASSOCIATED WITH CERTAIN JACKSON INTEGRALS [J].

AOMOTO, K .

TOHOKU MATHEMATICAL JOURNAL, 1991, 43 (01) :75-101

[2] Q-ANALOG OF DE RHAM COHOMOLOGY ASSOCIATED WITH JACKSON INTEGRALS .2. [J].

AOMOTO, K .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1990, 66 (08) :240-244

[3] Q-ANALOG OF DE RHAM COHOMOLOGY ASSOCIATED WITH JACKSON INTEGRALS .1. [J].

AOMOTO, K .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1990, 66 (07) :161-164

[4] QUANTUM DEFORMATIONS OF GLN [J].

ARTIN, M ;

SCHELTER, W ;

TATE, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (8-9) :879-895

[5] DIAMOND LEMMA FOR RING THEORY [J].

BERGMAN, GM .

ADVANCES IN MATHEMATICS, 1978, 29 (02) :178-218

[6]

BERNARD D, 1990, QUANTUM LIE ALGEBRAS

[7]

Bourbaki N., 1970, ELEMENTS MATH ALGEBR

[8] ON THE QUANTUM DIFFERENTIAL-CALCULUS AND THE QUANTUM HOLOMORPHICITY [J].

BRZEZINSKI, T ;

DABROWSKI, H ;

REMBIELINSKI, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (01) :19-24

[9]

BRZEZINSKI T, 1991, EXTERIOR BIALGEBRAS

[10] BICOVARIANT DIFFERENTIAL-CALCULUS ON QUANTUM GROUPS SUQ(N) AND SOQ(N) [J].

CAROWWATAMURA, U ;

SCHLIEKER, M ;

WATAMURA, S ;

WEICH, W .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (03) :605-641

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