000			03320nam a22004813i 4500
001			EBC3114463
003			MiAaPQ
005			20240729124609.0
006			m o d |
007			cr cnu||||||||
008			240724s2001 xx o ||||0 eng d
020			_a9781470403041 _q(electronic bk.)
020			_z9780821826454
035			_a(MiAaPQ)EBC3114463
035			_a(Au-PeEL)EBL3114463
035			_a(CaPaEBR)ebr11041241
035			_a(OCoLC)922965134
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA252.5 -- .K33 2001eb
082	0		_a510 s;512/.24
100	1		_aKac, V.G.
245	1	0	_aGraded Simple Jordan Superalgebras of Growth One.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2001.
264		4	_c©2001.
300			_a1 online resource (157 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.150
505	0		_aIntro -- Contents -- Introduction -- Statement of the Problem -- Definitions and Notation -- The Main Result -- Structure of the Proof -- Chapter 1. Structure of the Even Part -- 1.1. General results -- Chapter 2. Cartan type -- 2.1. Results -- 2.2. A/I one-sided graded -- Chapter 3. Even Part is Direct Sum of two Loop Algebras -- 3.1. General Results -- 3.2. A = F[t[sup(-n)],t[sup(n)]] -- 3.3. A = F[t[sup(-n1)][sub(1)],t[sup(n1)]sub(1)]] ⊕ F[t[sup(-n2)][sub(2)],t[sup(n2)]sub(2)]] -- 3.4. A = L(G') ⊕ L(G) -- Chapter 4. A is a Loop Algebra -- 4.1. General Results -- Chapter 5. J is a finite dimensional Jordan Superalgebra or a Jordan Superalgebra of a Superform -- 5.1. A is finite dimensional -- 5.2. A/I finite dimensional, I ≠ (0) -- 5.3. A is a Jordan algebra of a bilinear form -- Chapter 6. The Main Case -- 6.1. Splitting Theorem -- 6.2. Structure of J -- Chapter 7. Impossible Cases -- 7.1. I = (0), A = A[sup((1))] ⊕ A[sup((2))] -- A[sup((1))] is a loop algebra, A[sup((2))] is one-sided graded -- 7.2. A = A[sup((1))] ⊕ A[sup((2))], A[sup((1))] is a negatively graded algebra, A[sup((2))] is a positively graded algebra -- 7.3. A = A[sup((1))] ⊕ A[sup((2))] with A[sup((1))] infinite dimensional Jordan algebra of a bilinear form -- 7.4. I ≠ (0), A/I is an infinite dimensional Jordan algebra of a nondegenerate symmetric bilinear form -- 7.5. A = A[sup((1))] ⊕ A[sup((2))], A[sup((1))] is finite dimensional -- A[sup((2))] is a loop algebra -- Bibliography.
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	_aJordan algebras.
650		0	_aSuperalgebras.
655		4	_aElectronic books.
700	1		_aMartinez, C.
700	1		_aZelmanov, E.
776	0	8	_iPrint version: _aKac, V.G. _tGraded Simple Jordan Superalgebras of Growth One _dProvidence : American Mathematical Society,c2001 _z9780821826454
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114463 _zClick to View
999			_c69958 _d69958