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Multiplicity upon
restriction to the derived subgroup
Jeffrey D. Adler and Dipendra Prasad |
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Vol. 301 (2019), No. 1, 1–14
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Abstract |
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We present a conjecture on multiplicity of irreducible representations of a subgroup contained in the irreducible representations of a group , with and having the same derived groups. We point out some consequences of the conjecture, and verification of some of the consequences. We give an explicit example of multiplicity upon restriction, as well as certain theorems in the context of classical groups where the multiplicity is . |
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Keywords
reductive group, derived subgroup, representation,
restriction, multiplicity
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Mathematical Subject Classification 2010
Primary: 22E50
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Milestones
Received: 10 June 2018
Accepted: 5 September 2018
Published: 16 September 2019
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Authors |
| Jeffrey D. Adler | ||
| Department of Mathematics and
Statistics American University Washington, DC United States |
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| Dipendra Prasad | ||
| Indian Institute of Technology Mumbai India |
Tata Institute of Fundamental
Research Mumbai India |
Laboratory of Modern Algebra and
Applications Saint-Petersburg State University Russia |
