Original scientific paper
https://doi.org/10.21857/mnlqgc3qqy
Similitude exceptional theta correspondences
Petar Bakić
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.org/0000-0002-9547-4393
; Department of Mathematics, University of Utah, Salt Lake City, UT, USA
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
Publication date:
24.1.2024.
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