Frobenius reciprocity and extensions of nilpotent Lie groups

Author:
Jeffrey Fox

Journal:
Trans. Amer. Math. Soc. **298** (1986), 123-144

MSC:
Primary 22E25; Secondary 22E27, 22E40, 22E45

MathSciNet review:
857436

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Abstract: In we use -vector methods, essentially Frobenius reciprocity, to derive the Howe-Richardson multiplicity formula for compact nilmanifolds. In 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 we give an application of the previous results to obtain a reduction formula for solvable Lie groups.

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DOI:
https://doi.org/10.1090/S0002-9947-1986-0857436-1

Article copyright:
© Copyright 1986
American Mathematical Society