Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-02
Int.J.Mod.Phys.A18:1935-1958,2003
Physics
High Energy Physics
High Energy Physics - Theory
1+23 pages, 1 figure, LaTeX. Typos fixed, references added, version to appear in Int.J.Mod.Phys.A
Scientific paper
10.1142/S0217751X03014113
We 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.
Dolan Brian P.
Jahn Oliver
No associations
LandOfFree
Fuzzy Complex Grassmannian Spaces and their Star Products does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fuzzy Complex Grassmannian Spaces and their Star Products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fuzzy Complex Grassmannian Spaces and their Star Products will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-481485