On the Spectra of Compact Nilmanifolds
Copyright policy )On the Spectra of Compact Nilmanifolds
We show the equivalence of the Howe-Richardson multiplicity formula for compact nilmanifolds and the formula obtained by Corwin and Greenleaf using the Selberg trace formula.
multiplicity of representations, Nilpotent and solvable Lie groups, Howe-Richardson formula, compact nilmanifolds, Frobenius reciprocity, Induced representations for locally compact groups, Discrete subgroups of Lie groups, lattice subgroups, Selberg trace formula, Harmonic analysis on homogeneous spaces, connected nilpotent Lie group, Representation-theoretic methods; automorphic representations over local and global fields
multiplicity of representations, Nilpotent and solvable Lie groups, Howe-Richardson formula, compact nilmanifolds, Frobenius reciprocity, Induced representations for locally compact groups, Discrete subgroups of Lie groups, lattice subgroups, Selberg trace formula, Harmonic analysis on homogeneous spaces, connected nilpotent Lie group, Representation-theoretic methods; automorphic representations over local and global fields
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