Roman Martinez
First Name
Angel
Last Name
Roman Martinez
Department
Science and Mathematics
Scholarship Year
2025
Research Center
Non-Center Based
Scholarship Type
Manuscripts Submitted for Publication
Contributors List
Angel Roman, Xiang Tang, Yanli Song
Project Title
Mackey Deformation and Noncommutative Geometry
Start Date - Month
August
Start Date - Year
2025
End Date Anticipated - Month
August
End Date Anticipated - Year
2027
Review Types
Refereed
Student Assistance
None
Projected Cost
$0.00
Funding Source
Operating Budget
Resulting Product
scholarly publication
Citation
Roman, Angel, Yanli Song, and Xiang Tang. "Higher Orbital Integrals on Motion Groups and Mackey Deformation." In Press. TS - typescript (typed). £
Abstract
Title: Higher Orbital Integrals on Motion Groups and Mackey Deformation
Abstract: We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group.
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