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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 558=28, 2024.

Original scientific paper

https://doi.org/10.21857/mnlqgc3qqy

Similitude exceptional theta correspondences

Petar Bakić orcid id orcid.org/0000-0003-3341-179X ; Department of Mathematics, University of Utah, Salt Lake City, UT, USA
Wee Teck Gan ; Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076
Gordan Savin orcid id orcid.org/0000-0002-9547-4393 ; Department of Mathematics, University of Utah, Salt Lake City, UT, USA

Full text: english pdf 662 Kb

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Abstract

We describe a systematic way of constructing dual pairs of similitude groups. We study the theta correspondences arising in this way and prove that Howe duality holds for the similitude dual pair if and only if it holds for the original reductive dual pair used in our construction. Several examples of exceptional correspondences are discussed.

Keywords

theta correspondences; similitude groups

Hrčak ID:

313631

URI

https://hrcak.srce.hr/313631

Publication date:

24.1.2024.

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