000 | 03512nam a22004815i 4500 | ||
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001 | 978-3-540-38864-7 | ||
003 | DE-He213 | ||
005 | 20190213151411.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540388647 _9978-3-540-38864-7 |
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024 | 7 |
_a10.1007/BFb0079295 _2doi |
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050 | 4 | _aQA252.3 | |
050 | 4 | _aQA387 | |
072 | 7 |
_aPBG _2bicssc |
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072 | 7 |
_aMAT014000 _2bisacsh |
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072 | 7 |
_aPBG _2thema |
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082 | 0 | 4 |
_a512.55 _223 |
082 | 0 | 4 |
_a512.482 _223 |
100 | 1 |
_aSeligman, George B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aConstructions of Lie Algebras and their Modules _h[electronic resource] / _cby George B. Seligman. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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300 |
_aVIII, 196 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1300 |
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505 | 0 | _aAn introductory example: sl(n,D) -- General considerations -- Involutorial algebras and modules for their skew elements -- Construction of modules with prescribed relative highest weights, for the isotropic algebras of chapter 3 -- Construction of exceptional algebras from quadratic forms -- Representations of exceptional algebras constructed from quadratic forms -- Non-reduced excepticnal algebras with a one-dimensional root space -- Construction of modules for the super-exceptional algebras of rank one -- Complements. | |
520 | _aThis book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through. | ||
650 | 0 | _aTopological Groups. | |
650 | 1 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540189732 |
776 | 0 | 8 |
_iPrinted edition: _z9783662195697 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1300 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0079295 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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