000 | 03721nam a22005535i 4500 | ||
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001 | 978-3-642-38206-2 | ||
003 | DE-He213 | ||
005 | 20190213151904.0 | ||
007 | cr nn 008mamaa | ||
008 | 130822s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642382062 _9978-3-642-38206-2 |
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024 | 7 |
_a10.1007/978-3-642-38206-2 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
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072 | 7 |
_aMAT002000 _2bisacsh |
|
072 | 7 |
_aPBF _2thema |
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082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aHarima, Tadahito. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 4 |
_aThe Lefschetz Properties _h[electronic resource] / _cby Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
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300 |
_aXIX, 250 p. 20 illus. _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 |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2080 |
|
505 | 0 | _aIntroduction and Historical Note -- 1. Poset Theory -- 2. Basics on the Theory of Local Rings -- 3. Lefschetz Properties -- 4. Compete Intersections with the SLP -- 5. A Generalization of Lefschetz Elements -- 6. k-Lefschetz Properties -- 7. Cohomology Rings -- 8. Invariant Theory and Lefschetz Property -- 9. The Strong Lefschetz Property and the Schur–Weyl Duality. . | |
520 | _aThis is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aCombinatorics. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aCombinatorics. _0http://scigraph.springernature.com/things/product-market-codes/M29010 |
700 | 1 |
_aMaeno, Toshiaki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aMorita, Hideaki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aNumata, Yasuhide. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aWachi, Akihito. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aWatanabe, Junzo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642382055 |
776 | 0 | 8 |
_iPrinted edition: _z9783642382079 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2080 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-38206-2 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c12233 _d12233 |