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- W4301747080 abstract "We find all irreducible constituents of the Weil representation of a unitary group $U_m(A)$ of rank $m$ associated to a ramified quadratic extension $A$ of a finite, commutative, local and principal ring $R$ of odd characteristic. We show that this Weil representation is multiplicity free with monomial irreducible constituents. We also find the number of these constituents and describe them in terms of Clifford theory with respect to a congruence subgroup. We find all character degrees in the special case when $R$ is a field." @default.
- W4301747080 created "2022-10-05" @default.
- W4301747080 creator A5061511300 @default.
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- W4301747080 date "2013-06-17" @default.
- W4301747080 modified "2023-10-16" @default.
- W4301747080 title "The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring" @default.
- W4301747080 doi "https://doi.org/10.48550/arxiv.1306.3997" @default.
- W4301747080 hasPublicationYear "2013" @default.
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