Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. (English. Russian original) Zbl 1377.11121

Proc. Steklov Inst. Math. 292, 185-201 (2016); translation from Tr. Mat. Inst. Steklova 292, 191-208 (2016).
Summary: We study a natural action of the Heisenberg group of integer unipotent matrices of the third order on the distribution space of a two-dimensional local field for a flag on a two-dimensional scheme.


11S23 Integral representations
11S85 Other nonanalytic theory
20H05 Unimodular groups, congruence subgroups (group-theoretic aspects)
20C15 Ordinary representations and characters
Full Text: DOI arXiv


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