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Supercuspidal characters of $\operatorname{SL}_2$ over a $p$-adic field
p-adic group character formula supercuspidal representation
2011/2/28
The character formulas of [42] are an early triumph in p-adic har-monic analysis, but, to date, the calculations underlying the formulas have not been available.
Exotic characters of unitriangular matrix groups
Exotic characters unitriangular matrix groups
2011/1/20
Let UTn(q) denote the unitriangular group of unipotent n × n upper triangular matrices over a finite field with cardinality q and prime characteristic p. It has been known for some time that when p is...
Geometrization of continuous characters of $\mathbb{Z}_p^\times$
Geometrization Kummer local systems
2011/1/17
We define the p-adic trace of certain Kummer local systems on the multiplicative group over p-adic numbers, using nearby cycles. For every nonnegative integer n, we prove that the p-adic trace defines...
Irreducible characters taking root of unity values on p-singular elements
Irreducible characters unity values on p-singular elements
2011/1/20
In this paper we study finite p-solvable groups having irreducible com-plex characters χ ∈ Irr(G) which take roots of unity values on the p-singular elements of G.
Geometrization of principal series representations of GL_N associated to regular characters
Geometrization principal series representations
2010/11/23
In geometric representation theory, one often wishes to describe representations realized on spaces of invariant functions as trace functions of equivariant perverse sheaves. In the case of principal...
Separation of variables for symplectic characters
Separation of variables symplectic characters
2010/12/6
We perform separation of variables for the symplectic Weyl character using Sklyanin’s scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitlyconstruct the separa...
Gaussian concentration of the q-characters of the Hecke algebras of type A
Gaussian concentration q-characters of the Hecke algebras type A
2010/12/9
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible
characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...
Estimation of sensitive multi-characters using unknown value of unrelated question
Total estimation RRT Sensitive Multi-characteristics
2010/9/15
The confidence of the respondent to answer sensitive questions is more,if one of the two questions belongs to non-sensitive attribute unrelated to sensitive characteristics Greenberg et al.[2]. Seeing...