000			03545nam a22004453i 4500
001			EBC4843237
003			MiAaPQ
005			20240729131211.0
006			m o d |
007			cr cnu||||||||
008			240724s2017 xx o ||||0 eng d
020			_a9783110515442 _q(electronic bk.)
020			_z9783110515169
035			_a(MiAaPQ)EBC4843237
035			_a(Au-PeEL)EBL4843237
035			_a(CaPaEBR)ebr11375536
035			_a(OCoLC)983735784
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA252.3.S773 2017eb
082	0		_a512/.55
100	1		_aStrade, Helmut.
245	1	0	_aStructure Theory.
250			_a2nd ed.
264		1	_aBerlin/Boston : _bWalter de Gruyter GmbH, _c2017.
264		4	_c©2017.
300			_a1 online resource (550 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aDe Gruyter Expositions in Mathematics Series ; _vv.38
505	0		_aIntro -- Contents -- Introduction -- 1. Toral subalgebras in p-envelopes -- 1.1 p-envelopes -- 1.2 The absolute toral rank -- 1.3 Extended roots -- 1.4 Absolute toral ranks of parametrized families -- 1.5 Toral switching -- 2. Lie algebras of special derivations -- 2.1 Divided power mappings -- 2.2 Subalgebras defined by flags -- 2.3 Transitive embeddings of Lie algebras -- 2.4 Automorphisms and derivations -- 2.5 Filtrations and gradations -- 2.6 Minimal embeddings of filtered and associated graded Lie algebras -- 2.7 Miscellaneous -- 2.8 A universal embedding -- 2.9 The constructions can be made basis free -- 3. Derivation simple algebras and modules -- 3.1 Frobenius extensions -- 3.2 Induced modules -- 3.3 Block's theorems -- 3.4 Derivation semisimple associative algebras -- 3.5 Weisfeiler's theorems -- 3.6 Conjugacy classes of tori -- 4. Simple Lie algebras -- 4.1 Classical Lie algebras -- 4.2 Lie algebras of Cartan type -- 4.3 Melikian algebras -- 4.4 Simple Lie algebras in characteristic 3 -- 5. Recognition theorems -- 5.1 Cohomology groups -- 5.2 From local to global Lie algebras -- 5.3 Representations -- 5.4 Generating Melikian algebras -- 5.5 TheWeak Recognition Theorem -- 5.6 The Recognition Theorem -- 5.7 Wilson's Theorem -- 6. The isomorphism problem -- 6.1 A first attack -- 6.2 The compatibility property -- 6.3 Special algebras -- 6.4 Orbits of Hamiltonian forms -- 6.5 Hamiltonian algebras -- 6.6 Contact algebras -- 6.7 Melikian algebras -- 7. Structure of simple Lie algebras -- 7.1 Derivations -- 7.2 Restrictedness -- 7.3 Automorphisms -- 7.4 Gradings -- 7.5 Tori -- 7.6 W(1 -- n) -- 8. Pairings of induced modules -- 8.1 Cartan prolongation -- 8.2 Module pairings -- 8.3 Trigonalizability -- 9. Toral rank 1 Lie algebras -- 9.1 Solvable maximal subalgebras -- 9.2 Cartan subalgebras of toral rank 1 -- Notation -- Bibliography -- Index.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aLie algebras.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aStrade, Helmut _tStructure Theory _dBerlin/Boston : Walter de Gruyter GmbH,c2017 _z9783110515169
797	2		_aProQuest (Firm)
830		3	_aDe Gruyter Expositions in Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4843237 _zClick to View
999			_c125352 _d125352