Introduction to Louis Michel's lattice geometry through group action / (Record no. 5600)

MARC details
000 -LEADER
fixed length control field 06307cam a2200661Mi 4500
001 - CONTROL NUMBER
control field on1004831978
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220517104404.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170928s2015 fr a gob 001 0 fre d
040 ## - CATALOGING SOURCE
Original cataloging agency YDX
Language of cataloging eng
Description conventions pn
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Transcribing agency YDX
Modifying agency EBLCP
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-- OCLCQ
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-- OCLCF
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-- CUY
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-- ICG
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9782759819522
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 2759819523
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9782759817382
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 2759817385
Qualifying information (electronic bk.)
035 ## - SYSTEM CONTROL NUMBER
System control number 1605172
-- (N$T)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1004831978
037 ## - SOURCE OF ACQUISITION
Stock number 102204
Source of stock number/acquisition Knowledge Unlatched
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA171.5
Item number .Z455 2015eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 000000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHM
Source bicssc
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.33
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Zhilinskii, Boris,
Relator term author
9 (RLIN) 32571
245 10 - TITLE STATEMENT
Title Introduction to Louis Michel's lattice geometry through group action /
Statement of responsibility, etc. Boris Zhilinskii, Michel Leduc, Michel Le Bellac.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Les Ulis :
Name of producer, publisher, distributor, manufacturer EDP sciences,
Date of production, publication, distribution, manufacture, or copyright notice 2015.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2015
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 0# - SERIES STATEMENT
Series statement Current Natural Sciences
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction to Louis Michel's lattice geometry through group action; Contents; Preface; 1 -- Introduction; 2 -- Group action. Basic definitions and examples; 2.1 The action of a group on itself; 2.2 Group action on vector space; 3 -- Delone sets and periodic lattices; 3.1 Delone sets; 3.2 Lattices; 3.3 Sublattices of L; 3.4 Dual lattices; 4 -- Lattice symmetry; 4.1 Introduction; 4.2 Point symmetry of lattices; 4.3 Bravais classes; 4.4 Correspondence between Bravais classes and lattice point symmetry groups; 4.5 Symmetry, stratification, and fundamental domains.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.6 Point symmetry of higher dimensional lattices5 -- Lattices and their Voronoïand Delone cells; 5.1 Tilings by polytopes: some basic concepts; 5.2 Voronoï cells and Delone polytopes; 5.3 Duality; 5.4 Voronoï and Delone cells of point lattices; 5.5 Classification of corona vectors; 6 -- Lattices and positive quadratic forms; 6.1 Introduction; 6.2 Two dimensional quadratic forms and lattices; 6.3 Three dimensional quadratic forms and 3D-lattices; 6.4 Parallelohedra and cells for N-dimensional lattices; 6.5 Partition of the cone of positive-definite quadratic forms.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6.6 Zonotopes and zonohedral families of parallelohedra6.7 Graphical visualization of members of the zonohedral family; 6.8 Graphical visualization of non-zonohedral lattices; 6.9 On Voronoï conjecture; 7 -- Root systems and root lattices; 7.1 Root systems of lattices and root lattices; 7.2 Lattices of the root systems; 7.3 Low dimensional root lattices; 8 -- Comparison of lattice classifications; 8.1 Geometric and arithmetic classes; 8.2 Crystallographic classes; 8.3 Enantiomorphism; 8.4 Time reversal invariance; 8.5 Combining combinatorial and symmetry classification; 9 -- Applications.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 9.1 Sphere packing, covering, and tiling9.2 Regular phases of matter; 9.3 Quasicrystals; 9.4 Lattice defects; 9.5 Lattices in phase space. Dynamical models. Defects; 9.6 Modular group; 9.7 Lattices and Morse theory; A -- Basic notions of group theory with illustrative examples; B -- Graphs, posets, and topological invariants; C -- Notations for point and crystallographic groups; C.1 Two-dimensional point groups; C.2 Crystallographic plane and space groups; C.3 Notation for four-dimensional parallelohedra; D -- Orbit spaces for planecrystallographic groups.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note E -- Orbit spaces for 3D-irreducible Bravais groupsBibliography; Index.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
520 8# - SUMMARY, ETC.
Summary, etc. Annotation
Expansion of summary note Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the main subject of the book. Different basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to lattices associated with integrable dynamical systems. Starting from general Delone sets authors turn to different symmetry and topological classifications including explicit construction of orbifolds for two- and three-dimensional point and space groups. Voronoi and Delone cells together with positive quadratic forms and lattice description by root systems are introduced to demonstrate alternative approaches to lattice geometry study. Zonotopes and zonohedral families of 2-, 3-, 4-, 5-dimensional lattices are explicitly visualized using graph theory approach. Along with crystallographic applications, qualitative features of lattices of quantum states appearing for quantum problems associated with classical Hamiltonian integrable dynamical systems are shortly discussed. The presentation of the material is done through a number of concrete examples with an extensive use of graphical visualization. The book is addressed to graduated and post-graduate students and young researches in theoretical physics, dynamical systems, applied mathematics, solid state physics, crystallography, molecular physics, theoretical chemistry, ..."
542 1# - INFORMATION RELATING TO COPYRIGHT STATUS
Copyright statement This work is licensed under a Creative Commons license
Uniform Resource Identifier https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
590 ## - LOCAL NOTE (RLIN)
Local note Master record variable field(s) change: 072
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lattice theory.
9 (RLIN) 32572
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS
General subdivision General.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lattice theory.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst00993426
9 (RLIN) 32572
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Atomic & molecular physics
Source of heading or term bicssc
9 (RLIN) 25310
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Leduc, Michel.
9 (RLIN) 32573
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Le Bellac, Michel.
9 (RLIN) 32574
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9782759817382
-- 2759817385
Record control number (OCoLC)936210752
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified EBSCOhost
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1605172">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1605172</a>
938 ## -
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938 ## -
-- EBSCOhost
-- EBSC
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938 ## -
-- YBP Library Services
-- YANK
-- 14818064
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-books
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