TL;DR
This paper reviews fundamental geometric and analytic results related to MVW-extensions of classical groups, including their applications to Jacobi, metaplectic, and special orthogonal groups, summarizing key theoretical insights.
Contribution
It provides a comprehensive overview of MVW-extensions and extends the discussion to related groups, consolidating existing results in a unified framework.
Findings
Summarizes core geometric and analytic properties of MVW-extensions.
Includes results for Jacobi, metaplectic, and special orthogonal groups.
Highlights connections between different classical groups and their extensions.
Abstract
We review certain basic geometric and analytic results concerning MVW-extensions of classical groups, following Moeglin-Vigneras-Waldspurger. The related results for Jacobi groups, metaplectic groups, and special orthogonal groups are also included.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Finite Group Theory Research