Thu Oct 16 17:53:25 2014 UTClccn-n940768470.00Symplectic Projective Orbits /0.781.00Representations of a Lie algebra and its enveloping algebra on Hilbert space164334941Bertram_Kostantn 940768473660821Kostant, BertKostant, Bertramlccn-n87902946Brylinski, J.-L(Jean-Luc)edtlccn-nr94011086Joseph, Anthony1942-edtlccn-n79077171Vergne, Michèleedtlccn-n96118684Kumar, S.(Shrawan)1953-edtlccn-n88664496University of California, BerkeleyDepartment of Mathematicsviaf-294144340Joseph, Anthonync-springerlink service en ligneSpringerLink (Service en ligne)lccn-n81034910Guillemin, Victor W.edtlccn-n50022535Sternberg, Shlomoedtnp-brylinski, raneeBrylinski, RaneeedtKostant, BertramLie groupsGeometryLie algebrasAlgebraTopological groupsMathematicsMathematical physicsGlobal differential geometryHomology theoryDivergent seriesGeometry, DifferentialGeneralized spacesGroup theoryGeometry, AlgebraicDifferential formsMultiplicity (Mathematics)1928195419551958195919601961196819701977198319841988199319942008200920144912755512.55QA387ocn844937578ocn468323638ocn888469083ocn43887969128510ocn031012896book19940.86Brylinski, J.-LLie theory and geometry : in honor of Bertram KostantThis volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostants fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostants work+-+861281263511011ocn457073150file20090.66Kostant, BertramCollected papersFor more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. This is the first volume (1955-1966) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this first volume is Kostant's commentaries and summaries of his papers in his own words+-+2830452385599ocn671529802file20080.86Kostant, BertramCollected papersThe author has been one of the major architects of modern Lie theory. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. This title features commentaries and summaries of his papers in his own words+-+283045238552ocn514059708file20090.29Kostant, BertramCollected papers+-+283045238531ocn029237693book19830.47Kostant, BertramSystèmes hamiltoniens complètement intégrables31ocn457551400book20090.47Kostant, BertramCollected papers, v.1: 1955-1966+-+473045238531ocn302358879book19600.92Kostant, BertramLie algebra cohomology and the generalized Borel-Weil theorem21ocn848309371artKostant, BertramSymplectic Projective Orbits21ocn039773348mix19541.00Kostant, BertramRepresentations of a Lie algebra and its enveloping algebra on Hilbert space21ocn243803715book19940.10Lie theorie and geometry : in honor of Bertram Kostant+-+861281263521ocn038035877book19680.47Kostant, BertramIrreducibility of the principal series and existence and irreducibility of the complementary series11ocn262969993book1958Kostant, BertramA Formula for the multiplicity of a weight11ocn493376148book1977Kostant, BertramGraded manifolds, graded lie theory and prequantization. In : differential geometrical methods in mathematical physics11ocn022101513book19611.00Hochschild, Gerhard PDifferential forms on regular affine algebra11ocn888461460book2014Kostant, BertramCollected papers of Bertram Kostant11ocn297224948book1958Kostant, BertramThe Principle of three-dimensional subgroup and the Betti numbers of a complex simple Lie group11ocn039113918book19550.47Kostant, BertramOn the conjugacy of real cartan subalgebras11ocn227267218book1961Differential forms on regular affine algebraA mathematical discussion of the algebras of differential forms is treated as a special combination of linear algebra and homological alegbra. There is specific identification of this particular exterior algebra as applied to canical graded algebra based on the Tor functor and obtained by the cohomology of differential forms from the ext functor to a universal algebra i. e. Lie algebra. Attention is directed chiefly to a regular affine algebra, K-algebra, which is Noetherian with a finite Krull dimension, i. e. the largest non-negative integer11ocn861619800art1994Lie theory and geometry : in honor of Bertram Kostant : Symposium entitled "Lie theory, algebra and geometric quantization" : Selected papers+-+861281263511ocn270154435book1958Kostant, BertramA Theorem of Frobenius, a theorem of Amitsur-Levitsk and cohomology theory+-+8612812635+-+8612812635Thu Oct 16 14:59:33 EDT 2014batch10806