Quantum lie theory: a multilinear approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
|
| Schriftenreihe: | Lecture notes in mathematics
2150 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XIII, 302 Seiten) |
| ISBN: | 9783319227047 9783319227030 |
| ISSN: | 0075-8434 |
| DOI: | 10.1007/978-3-319-22704-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804175846582255616 |
|---|---|
| adam_text | QUANTUM LIE THEORY
/ KHARCHENKO, VLADISLAV
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
QUANTUM LIE THEORY
/ KHARCHENKO, VLADISLAV
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Kharchenko, Vladislav |
| author_GND | (DE-588)1081451734 |
| author_facet | Kharchenko, Vladislav |
| author_role | aut |
| author_sort | Kharchenko, Vladislav |
| author_variant | v k vk |
| building | Verbundindex |
| bvnumber | BV043309588 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)934210812 (DE-599)BVBBV043309588 |
| dewey-full | 512.46 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.46 |
| dewey-search | 512.46 |
| dewey-sort | 3512.46 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-22704-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:22:47Z |
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| isbn | 9783319227047 9783319227030 |
| issn | 0075-8434 |
| language | English |
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| spelling | Kharchenko, Vladislav Verfasser (DE-588)1081451734 aut Quantum lie theory a multilinear approach Vladislav Kharchenko Cham Springer [2015] © 2015 1 Online Ressource (XIII, 302 Seiten) txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2150 0075-8434 Mathematics Associative rings Rings (Algebra) Group theory Nonassociative rings Quantum physics Associative Rings and Algebras Non-associative Rings and Algebras Group Theory and Generalizations Quantum Physics Mathematik Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Quantentheorie (DE-588)4047992-4 s 1\p DE-604 Lecture notes in mathematics 2150 (DE-604)BV014303148 2150 https://doi.org/10.1007/978-3-319-22704-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730277&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730277&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kharchenko, Vladislav Quantum lie theory a multilinear approach Lecture notes in mathematics Mathematics Associative rings Rings (Algebra) Group theory Nonassociative rings Quantum physics Associative Rings and Algebras Non-associative Rings and Algebras Group Theory and Generalizations Quantum Physics Mathematik Lie-Algebra (DE-588)4130355-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4047992-4 |
| title | Quantum lie theory a multilinear approach |
| title_auth | Quantum lie theory a multilinear approach |
| title_exact_search | Quantum lie theory a multilinear approach |
| title_full | Quantum lie theory a multilinear approach Vladislav Kharchenko |
| title_fullStr | Quantum lie theory a multilinear approach Vladislav Kharchenko |
| title_full_unstemmed | Quantum lie theory a multilinear approach Vladislav Kharchenko |
| title_short | Quantum lie theory |
| title_sort | quantum lie theory a multilinear approach |
| title_sub | a multilinear approach |
| topic | Mathematics Associative rings Rings (Algebra) Group theory Nonassociative rings Quantum physics Associative Rings and Algebras Non-associative Rings and Algebras Group Theory and Generalizations Quantum Physics Mathematik Lie-Algebra (DE-588)4130355-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Mathematics Associative rings Rings (Algebra) Group theory Nonassociative rings Quantum physics Associative Rings and Algebras Non-associative Rings and Algebras Group Theory and Generalizations Quantum Physics Mathematik Lie-Algebra Quantentheorie |
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