Calculating characters of p-groups
نویسندگان
چکیده
منابع مشابه
Irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$
Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.
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We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu’s construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu’s construction, Fourier transforms of orbital integr...
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Let G be a unitary, symplectic or orthogonal group over a non-archimedean local field of residual characteristic different from 2, considered as the fixed point subgroup in a general linear group G̃ of an involution. Following [7] and [13], we generalize the notion of a semisimple character for G̃ and for G. In particular, following the formalism of [4], we show that these semisimple characters h...
متن کاملOn the characters of pro-p groups of finite rank
The proof of this theorem is based on the correspondence between the characters of a uniform pro-p group and the orbits of the action of the group on the dual of its Lie algebra. This result is an analogue of the Kirillov theory, introduced first in the context of nilpotent Lie groups and then used in many other situations (see [7]). The correspondence is quite explicit and it also gives the ex...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1990
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(08)80072-7