SL~(2,R)-homogeneous vector bundles

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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