000 -LEADER |
fixed length control field |
03518nam a22005775i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-319-22704-7 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20210120150114.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
151224s2015 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319227047 |
-- |
978-3-319-22704-7 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-319-22704-7 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA251.5 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBF |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002010 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBF |
Source |
thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.46 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Kharchenko, Vladislav. |
Relator term |
author. |
Relator code |
aut |
-- |
http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT |
Title |
Quantum Lie Theory |
Medium |
[electronic resource] : |
Remainder of title |
A Multilinear Approach / |
Statement of responsibility, etc. |
by Vladislav Kharchenko. |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 2015. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Cham : |
Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
-- |
Imprint: Springer, |
Date of production, publication, distribution, manufacture, or copyright notice |
2015. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIII, 302 p. |
Other physical details |
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 |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume/sequential designation |
2150 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Elements of noncommutative algebra -- Poincar ́e-Birkhoff-Witt basis -- Quantizations of Kac-Moody algebras -- Algebra of skew-primitive elements -- Multilinear operations -- Braided Hopf algebras -- Binary structures -- Algebra of primitive nonassociative polynomials. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Associative rings. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Rings (Algebra). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Nonassociative rings. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Quantum physics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Associative Rings and Algebras. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11027 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Non-associative Rings and Algebras. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11116 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11078 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Quantum Physics. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/P19080 |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer Nature eBook |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783319227030 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783319227054 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume number/sequential designation |
2150 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-319-22704-7">https://doi.org/10.1007/978-3-319-22704-7</a> |
912 ## - |
-- |
ZDB-2-SMA |
912 ## - |
-- |
ZDB-2-SXMS |
912 ## - |
-- |
ZDB-2-LNM |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
E-BOOKS |