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Positive energy representations of gauge groups I. Localization. (English) Zbl 07814700

Memoirs of the European Mathematical Society 9. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-067-9/pbk; 978-3-98547-567-4/ebook). viii, 148 p. (2024).

MSC: 22-02 17-02 22E66 17B15 17B56 17B65 17B66 17B67 17B81 22E60 22E65 22E67

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Neeb, Karl-Hermann

A survey on invariant cones in infinite dimensional Lie algebras. (A survey on invariant cones ininfinite dimensional Lie algebras.) (English) Zbl 1440.22036

J. Lie Theory 30, No. 2, 513-564 (2020).

MSC: 22E65 22E45 22-02

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Janssens, Bas; Neeb, Karl-Hermann

Projective unitary representations of infinite-dimensional Lie groups. (English) Zbl 1480.22010

Kyoto J. Math. 59, No. 2, 293-341 (2019).

Reviewer: Dongwen Liu (Zhejiang)

MSC: 22E65 22E66 22E67 17B15 17B56 17B65 17B67 17B68 22E45 22E60

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Neeb, K. H.

Semibounded unitary representations of double extensions of Hilbert-loop groups. (Représentations unitaires délimitèes ci-dessous de double-extensions des groupes de lacettes hilbertiens.) (English. French summary) Zbl 1315.22024

Ann. Inst. Fourier 64, No. 5, 1823-1892 (2014).

Reviewer: Daniel Beltiţă (Bucureşti)

MSC: 22E65 22E45 22E66 22E67 81R10

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Neeb, Karl-Hermann

Lie groups of bundle automorphisms and their extensions. (English) Zbl 1227.22024

Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 281-338 (2011).

Reviewer: Cornelia Vizman (Timişoara)

MSC: 22E65 22E67 17B66

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Neeb, K.-H.

Semi-bounded unitary representations of infinite-dimensional Lie groups. (English) Zbl 1167.22013

Hilgert, Joachim (ed.) et al., Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10–14, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-281-8/hbk). 209-222 (2009).

Reviewer: Volodymyr Mazorchuk (Uppsala)

MSC: 22E67

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Neeb, Karl-Hermann; Wagemann, Friedrich

Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds. (English) Zbl 1143.22016

Geom. Dedicata 134, 17-60 (2008).

Reviewer: Volodymyr Mazorchuk (Uppsala)

MSC: 22E65 22E67 22E15 22E30

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Neeb, Karl-Hermann

Current groups for non-compact manifolds and their central extensions. (English) Zbl 1056.22014

Wurzbacher, Tilmann (ed.), Infinite dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004. Berlin: de Gruyter (ISBN 3-11-018186-X/pbk). IRMA Lectures in Mathematics and Theoretical Physics 5, 109-183 (2004).

Reviewer: Helge Glöckner (Darmstadt)

MSC: 22E65 22E67 57T20 58D15

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Maier, Peter; Neeb, Karl-Hermann

Central extensions of current groups. (English) Zbl 1029.22025

Math. Ann. 326, No. 2, 367-415 (2003).

Reviewer: Helge Glöckner (Darmstadt)

MSC: 22E65 22E67 57T10

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Neeb, Karl-Hermann

Borel-Weil theory for loop groups. (English) Zbl 0994.22014

Huckleberry, Alan (ed.) et al., Infinite dimensional Kähler manifolds. Basel: Birkhäuser. DMV Semin. 31, 179-229 (2001).

Reviewer: C.B.Thomas (Cambridge)

MSC: 22E67 22E65 32L10 81R10

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Found 10 Documents (Results 1–10)

Positive energy representations of gauge groups I. Localization. (English) Zbl 07814700

A survey on invariant cones in infinite dimensional Lie algebras. (A survey on invariant cones ininfinite dimensional Lie algebras.) (English) Zbl 1440.22036

Projective unitary representations of infinite-dimensional Lie groups. (English) Zbl 1480.22010

Semibounded unitary representations of double extensions of Hilbert-loop groups. (Représentations unitaires délimitèes ci-dessous de double-extensions des groupes de lacettes hilbertiens.) (English. French summary) Zbl 1315.22024

Lie groups of bundle automorphisms and their extensions. (English) Zbl 1227.22024

Semi-bounded unitary representations of infinite-dimensional Lie groups. (English) Zbl 1167.22013

Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds. (English) Zbl 1143.22016

Current groups for non-compact manifolds and their central extensions. (English) Zbl 1056.22014

Central extensions of current groups. (English) Zbl 1029.22025

Borel-Weil theory for loop groups. (English) Zbl 0994.22014

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