Holomorphic line bundles over Hilbert flag varieties

G.F. Helminck; A.G. Helminck

Holomorphic line bundles over Hilbert flag varieties

G.F. Helminck, A.G. Helminck

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

In this contribution we present a geometric realization of an infinite dimensional analogue of the irreducible representations of the unitary group. This requires a detailed analysis of the structure of the flag varieties involved and the line bundles over it. These constructions are of importance in quantum field theory and in the framework of integrable systems. As an application, it is shown how they occur in the latter context.

Original language	English
Title of host publication	Algebraic groups and their generalizations
Editors	William J. Haboush, Brian J. Parshall
Place of Publication	Providence, RI, USA
Publisher	American Mathematical Society
Number of pages	26
ISBN (Print)	978-0-8218-1497-0
Publication status	Published - 12 Jan 1994
Event	Algebraic Groups and Their Generalizations 1991 - Pennsylvania State University, State College, United States Duration: 1 Jul 1991 → 1 Jul 1991

Publication series

Name	Proceedings of Symposia in Pure Mathematics
Publisher	American Mathematical Society
Volume	56
ISSN (Print)	0082-0717

Conference

Conference	Algebraic Groups and Their Generalizations 1991
Country/Territory	United States
City	State College
Period	1/07/91 → 1/07/91

Keywords

METIS-141443
IR-97337

Access to Document

Helminck1994bundlesAccepted author version, 154 KB

Cite this

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Helminck, GF & Helminck, AG 1994, Holomorphic line bundles over Hilbert flag varieties. in WJ Haboush & BJ Parshall (eds), Algebraic groups and their generalizations. Proceedings of Symposia in Pure Mathematics, vol. 56, American Mathematical Society, Providence, RI, USA, Algebraic Groups and Their Generalizations 1991, State College, Pennsylvania, United States, 1/07/91.

Holomorphic line bundles over Hilbert flag varieties. / Helminck, G.F.; Helminck, A.G.
Algebraic groups and their generalizations. ed. / William J. Haboush; Brian J. Parshall. Providence, RI, USA: American Mathematical Society, 1994. (Proceedings of Symposia in Pure Mathematics; Vol. 56).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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KW - IR-97337

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SN - 978-0-8218-1497-0

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BT - Algebraic groups and their generalizations

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