Frobenius reciprocity and extensions of nilpotent Lie groups
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- by Jeffrey Fox PDF
- Trans. Amer. Math. Soc. 298 (1986), 123-144 Request permission
Abstract:
In $\S 1$ we use ${C^\infty }$-vector methods, essentially Frobenius reciprocity, to derive the Howe-Richardson multiplicity formula for compact nilmanifolds. In $\S 2$ we use Frobenius reciprocity to generalize and considerably simplify a reduction procedure developed by Howe for solvable groups to general extensions of nilpotent Lie groups. In $\S 3$ we give an application of the previous results to obtain a reduction formula for solvable Lie groups.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 298 (1986), 123-144
- MSC: Primary 22E25; Secondary 22E27, 22E40, 22E45
- DOI: https://doi.org/10.1090/S0002-9947-1986-0857436-1
- MathSciNet review: 857436