Biswas, Indranil ; Misra, Gadadhar (2008) SL~(2,R)-homogeneous vector bundles International Journal of Mathematics, 19 (1). pp. 1-19. ISSN 0129-167X
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Official URL: http://www.worldscinet.com/ijm/19/1901/S0129167X08...
Related URL: http://dx.doi.org/10.1142/S0129167X08004534
Abstract
We describe all the holomorphic Hermitian vector bundles (E, h) over the upper half plane in C with the property that (f* E, f* h) is holomorphically isometric to (E, h) for any holomorphic automorphism f of the upper half plane. We give an explicit construction of all such holomorphic Hermitian vector bundles using some linear algebraic data.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Company. |
| Keywords: | Upper Half Plane; Homogeneous Bundle; Hilbert Space |
| ID Code: | 3619 |
| Deposited On: | 18 Oct 2010 10:19 |
| Last Modified: | 16 May 2016 14:23 |
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