MARC Record from marc_columbia

LEADER: 03465cam a2200349 a 4500
001 5003296
005 20221109204728.0
008 040715t20042004nyua b 001 0 eng d
010 $a 2004301275
016 7 $a970162022$2GyFmDB
020 $a0387211543 (hard : alk. paper)
035 $a(OCoLC)ocm55739480
035 $a(NNC)5003296
035 $a5003296
040 $aMIA$cMIA$dDLC$dOHX$dOrLoB-B
042 $alccopycat
050 00 $aQA387$b.B76 2004
072 7 $aQA$2lcco
082 00 $a512/.482$222
100 1 $aBump, Daniel,$d1952-$0http://id.loc.gov/authorities/names/n84041723
245 10 $aLie groups /$cDaniel Bump.
260 $aNew York :$bSpringer,$c[2004], ©2004.
300 $axi, 451 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aGraduate texts in mathematics ;$v225
504 $aIncludes bibliographical references (p. [438]-445) and index.
505 00 $g1.$tHaar measure -- $g2.$tSchur orthogonality -- $g3.$tCompact operators -- $g4.$tThe Peter-Weyl theorem -- $g5.$tLie subgroups of GL([actual symbol not reproducible], [actual symbol not reproducible]) -- $g6.$tVector fields -- $g7.$tLeft-invariant vector fields -- $g8.$tThe exponential map -- $g9.$tTensors and universal properties -- $g10.$tThe universal enveloping algebra -- $g11.$tExtension of scalars -- $g12.$tRepresentations of [actual symbol not reproducible](2, [actual symbol not reproducible]) -- $g13.$tThe universal cover -- $g14.$tThe local frobenius theorem -- $g15.$tTori -- $g16.$tGeodesics and maximal tori -- $g17.$tTopological proof of Cartan's theorem -- $g18.$tThe Weyl integration formula -- $g19.$tThe root system -- $g20.$tExamples of root systems -- $g21.$tAbstract Weyl groups -- $g22.$tThe fundamental group -- $g23.$tSemisimple compact groups -- $g24.$tHighest-weight vectors -- $g25.$tThe Weyl character formula -- $g26.$tSpin -- $g27.$tComplexification -- $g28.$tCoxeter groups -- $g29.$tThe Iwasawa decomposition -- $g30.$tThe Bruhat decomposition -- $g31.$tSymmetric spaces -- $g32.$tRelative root systems -- $g33.$tEmbeddings of Lie groups -- $g34.$tMackey theory -- $g35.$tCharacters of GL([actual symbol not reproducible], [actual symbol not reproducible]) -- $g36.$tDuality between S[subscript k] and GL([actual symbol not reproducible], [actual symbol not reproducible]) -- $g37.$tThe Jacobi-Trudi identity -- $g38.$tSchur polynomials and GL([actual symbol not reproducible], [actual symbol not reproducible]) -- $g39.$tSchur polynomials and S[subscript k] -- $g40.$tRandom matrix theory -- $g41.$tMinors of Toeplitz matrices -- $g42.$tBranching formulae and tableaux -- $g43.$tThe cauchy identity -- $g44.$tUnitary branching rules -- $g45.$tThe involution model for S[subscript k] -- $g46.$tSome symmetric algebras -- $g47.$tGelfand pairs -- $g48.$tHecke algebras -- $g49.$tThe philosophy of cusp forms -- $g50.$tCohomology of grassmannians.
520 1 $a"This book is intended for a one-year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture."--BOOK JACKET.
650 0 $aLie groups.$0http://id.loc.gov/authorities/subjects/sh85076786
830 0 $aGraduate texts in mathematics ;$v225.$0http://id.loc.gov/authorities/names/n83723435
852 00 $bmat$hQA387$i.B76 2004