000 03263nam a22004935i 4500
001 978-3-540-39274-3
003 DE-He213
005 20160624101814.0
007 cr nn 008mamaa
008 121227s1988 gw | s |||| 0|eng d
020 _a9783540392743
_9978-3-540-39274-3
024 7 _a10.1007/BFb0080378
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.2
_223
100 1 _aBruns, Winfried.
_eauthor.
245 1 0 _aDeterminantal Rings
_h[electronic resource] /
_cby Winfried Bruns, Udo Vetter.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1988.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1988.
300 _aVIII, 240 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1327
505 0 _aPreliminaries -- Ideals of maximal minors -- Generically perfect ideals -- Algebras with straightening law on posets of minors -- The structure of an ASL -- Integrity and normality. The singular locus -- Generic points and invariant theory -- The divisor class group and the canonical class -- Powers of ideals of maximal minors -- Primary decomposition -- Representation theory -- Principal radical systems -- Generic modules -- The module of Kähler differentials -- Derivations and rigidity.
520 _aDeterminantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.
650 0 _aMathematics.
650 0 _aGroup theory.
650 0 _aTopological Groups.
650 1 4 _aMathematics.
650 2 4 _aGroup Theory and Generalizations.
650 2 4 _aTopological Groups, Lie Groups.
700 1 _aVetter, Udo.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540194682
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1327
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0080378
942 _2EBK1050
_cEBK
999 _c30344
_d30344