{"_id":"pwebkS9DgoB3PNwWc","bibbaseid":"guillemin-lerman-sternberg-onthekostantmultiplicityformula-1988","authorIDs":[],"author_short":["Guillemin, V.","Lerman, E.","Sternberg, S."],"bibdata":{"bibtype":"article","type":"article","title":"On the Kostant multiplicity formula","volume":"5","issn":"0393-0440","url":"http://www.sciencedirect.com/science/article/pii/0393044088900265","doi":"10.1016/0393-0440(88)90026-5","abstract":"The Kostant multiplicity formula is a recipe for computing the weight multiplicities of an irreducible representation of a compact semi-simple Lie group. We describe here a generalization of Kostant's formula: Suppose τ is a Hamiltonian action of a compact Lie group on a compact symplectic manifold. For an appropriate «quantization», τQ, of τ the weight multiplicaties of τQ are given by a formula similar to Konstant's. There is also an asymptotic version of this formula which gives a recipe for computing the Duistermaat Heckman polynomials associated with τ.","number":"4","urldate":"2019-09-07","journal":"Journal of Geometry and Physics","author":[{"propositions":[],"lastnames":["Guillemin"],"firstnames":["V."],"suffixes":[]},{"propositions":[],"lastnames":["Lerman"],"firstnames":["E."],"suffixes":[]},{"propositions":[],"lastnames":["Sternberg"],"firstnames":["S."],"suffixes":[]}],"month":"January","year":"1988","keywords":"Duistermaat-Heckman polynomial, Hamiltonian action, Partition function","pages":"721–750","bibtex":"@article{guillemin_kostant_1988,\n\ttitle = {On the {Kostant} multiplicity formula},\n\tvolume = {5},\n\tissn = {0393-0440},\n\turl = {http://www.sciencedirect.com/science/article/pii/0393044088900265},\n\tdoi = {10.1016/0393-0440(88)90026-5},\n\tabstract = {The Kostant multiplicity formula is a recipe for computing the weight multiplicities of an irreducible representation of a compact semi-simple Lie group. We describe here a generalization of Kostant's formula: Suppose τ is a Hamiltonian action of a compact Lie group on a compact symplectic manifold. For an appropriate «quantization», τQ, of τ the weight multiplicaties of τQ are given by a formula similar to Konstant's. There is also an asymptotic version of this formula which gives a recipe for computing the Duistermaat Heckman polynomials associated with τ.},\n\tnumber = {4},\n\turldate = {2019-09-07},\n\tjournal = {Journal of Geometry and Physics},\n\tauthor = {Guillemin, V. and Lerman, E. and Sternberg, S.},\n\tmonth = jan,\n\tyear = {1988},\n\tkeywords = {Duistermaat-Heckman polynomial, Hamiltonian action, Partition function},\n\tpages = {721--750}\n}\n\n","author_short":["Guillemin, V.","Lerman, E.","Sternberg, S."],"key":"guillemin_kostant_1988","id":"guillemin_kostant_1988","bibbaseid":"guillemin-lerman-sternberg-onthekostantmultiplicityformula-1988","role":"author","urls":{"Paper":"http://www.sciencedirect.com/science/article/pii/0393044088900265"},"keyword":["Duistermaat-Heckman polynomial","Hamiltonian action","Partition function"],"downloads":0,"html":""},"bibtype":"article","biburl":"https://bibbase.org/zotero/bencwbrown","creationDate":"2019-10-04T12:33:53.901Z","downloads":0,"keywords":["duistermaat-heckman polynomial","hamiltonian action","partition function"],"search_terms":["kostant","multiplicity","formula","guillemin","lerman","sternberg"],"title":"On the Kostant multiplicity formula","year":1988,"dataSources":["d4CogEm2wQ8uKii9s"]}