A Star Product for Complex Grasmann Manifolds
| dc.creator | Schirmer, Joachim | |
| dc.date | 1997-09-13 | |
| dc.date.accessioned | 2026-07-07T09:17:41Z | |
| dc.date.available | 2026-07-07T09:17:41Z | |
| dc.description | We explicitly construct a star product for the complex Grassmann manifolds using the method of phase space reduction. Functions on $\mathbb{C}^{(p+q)\cdot p~*}$, the space of $(p+q)\times p$ matrices of rank p, invariant under the right action of $Gl(p,\mathbb{C})$ can be regarded as functions on the Grassmann manifold $G_{p,q}(\mathbb{C})$, but do not form a subalgebra whereas functions only invariant under the unitary subgroup $U(p)\subset Gl(p,\mathbb{C})$ do. The idea is to construct a projection from $U(p)$- onto $Gl(p,\mathbb{C})$-invariant functions, whose kernel is an ideal. This projection can be used to define a star-algebra on $G_{p,q}(\mathbb{C})$ onto which this projection acts as an algebra-epimorphism. | |
| dc.description | 15 pages Latex Rep-No: FR-THEP 21 | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709021 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153755 | |
| dc.subject | Quantum Algebra | |
| dc.title | A Star Product for Complex Grasmann Manifolds | |
| dc.type | text |