Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (Record no. 31953)

000 -LEADER
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540478010
-- 978-3-540-47801-0
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Pittner, Ludwig.
245 10 - TITLE STATEMENT
Title Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
Statement of responsibility, etc by Ludwig Pittner.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1996.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XII, 469 pp.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Physics Monographs,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Lie Algebras -- Lie Superalgebras -- Coalgebras and Z2-Graded Hopf Algebras -- Formal Power Series with Homogeneous Relations -- Z2-Graded Lie-Cartan Pairs -- Real Lie-Hopf Superalgebras -- Universal Differential Envelope -- Quantum Groups -- Categorial Viewpoint.
520 ## - SUMMARY, ETC.
Summary, etc Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics. They are also considered useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. A more general approach to differential forms, and a systematic treatment of cyclic and Hochschild cohomologies within their universal differential envelopes are developed. Quantum groups and quantum algebras are treated extensively. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Quantum theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical physics.
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Topical Term Quantum computing.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Statistical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Thermodynamics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical Methods in Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Numerical and Computational Methods.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Quantum Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Quantum Computing, Information and Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Thermodynamics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Statistical Physics.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-540-47801-0
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1996.
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-- txt
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-- computer
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-- rdamedia
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-- online resource
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-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK2659 http://dx.doi.org/10.1007/978-3-540-47801-0 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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