The determination of the Iwahori-spherical unitary representations for split p-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for associated graded Hecke algebras. We determine the unitary modules with real infinitesimal character for the graded Hecke algebra of type E6.

The q-character is a strong tool to study finite-dimensional representations of quantum affine algebras. However, the explicit formula of the q-character of a given representation has not been known so far. Frenkel and Mukhin proposed the iterative algorithm which generates the q-character of a given irreducible representation starting from its highest weight monomial. The algorithm is known to...

objectives: according to the gateway drug theory, tobacco use is a predisposing factor for future substance abuse. this study was conducted to compare nicotine and opiate dependents to identify the differences between their personality traits and psychopathology that makes them turn to other substances after cigarette smoking. methods: a causal-comparative study was conducted. three groups were...

Let χ be a non-principal Dirichlet character to the prime modulus p. In 1963, Burgess showed that the maximum number of consecutive integers H for which χ remains constant is O ( p1/4 log p ) . This is the best known asymptotic upper bound on this quantity. Recently, McGown proved an explicit version of Burgess’s theorem, namely that H < 7.06p1/4 log p for p ≥ 5 ·1018. Preobrazhenskaya, in the ...

The determination of the Iwahori-spherical unitary representations for split p-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for associated graded Hecke algebras. We determine the unitary modules with real infinitesimal character for the graded Hecke algebra of type E6.

The character of an irreducible admissible representation of a p-adic reductive group is known to be a constant function in some neighborhood of any regular semisimple element γ in the group. Under certain mild restrictions on γ, we give an explicit description of a neighborhood of γ on which the character is constant.

In this paper we study reducibility of those representations of quasi-split unitary p-adic groups which are parabolically induced from supercuspidal representations of general linear groups. For a supercuspidal representation associated via Howe’s construction to an admissible character, we show that in many cases a criterion of Goldberg for reducibility of the induced representation reduces to...

For us, readers of Chaucer living in an age when appeal to religious passions and sentiments as a means for the realization of worldly objectives by some charlatans has grown significantly, reviewing the theme of religious hypocrisy treated in The Canterbury Tales can be useful in a way that it proves a helpful means for recognizing and dealing with the hypocrites. The Pardoner of the Tales is ...