Fuzzy Complex Grassmannian Spaces and their Star Products

Simple item page
dc.creatorDolan, Brian P.
dc.creatorJahn, Oliver
dc.date2001-11-02
dc.date2003-01-07
dc.date.accessioned2026-07-07T10:34:10Z
dc.date.available2026-07-07T10:34:10Z
dc.descriptionWe derive an explicit expression for an associative star product on non-commutative versions of complex Grassmannian spaces, in particular for the case of complex 2-planes. Our expression is in terms of a finite sum of derivatives. This generalises previous results for complex projective spaces and gives a discrete approximation for the Grassmannians in terms of a non-commutative algebra, represented by matrix multiplication in a finite-dimensional matrix algebra. The matrices are restricted to have a dimension which is precisely determined by the harmonic expansion of functions on the commutative Grassmannian, truncated at a finite level. In the limit of infinite-dimensional matrices we recover the commutative algebra of functions on the complex Grassmannians.
dc.description1+23 pages, 1 figure, LaTeX. Typos fixed, references added, version to appear in Int.J.Mod.Phys.A
dc.identifierhttps://arxiv.org/abs/hep-th/0111020
dc.identifierhttp://arxiv.org/abs/hep-th/0111020
dc.identifierInt.J.Mod.Phys.A18:1935-1958,2003
dc.identifierdoi:10.1142/S0217751X03014113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179383
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleFuzzy Complex Grassmannian Spaces and their Star Products
dc.typetext

Files

Collections

arXiv