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cuspidal representations are certain representations of algebraic groups that occur discretely in L 2 {\displaystyle L^{2}} spaces. The term cuspidal...

Cuspidal point can refer to: Cuspidal point of a curve, see Cusp (singularity) Cuspidal point of a surface, see Pinch point (mathematics) This disambiguation...

In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form y 2 − a 2 x 3 = 0 {\displaystyle...

functional equations). Langlands then generalized these to automorphic cuspidal representations, which are certain infinite dimensional irreducible representations...

represents points (c, d, e) where the polynomial has a repeated root. The cuspidal edge corresponds to the polynomials with a triple root, and the self-intersection...

In mathematics, a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point must reverse direction. A typical example is...

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector...

on the quite intricate theory of parabolic subgroups, and corresponding cuspidal representations. Consider P = M U {\displaystyle P=MU} a standard parabolic...

representations in general are to be constructed by parabolic induction of cuspidal representations. A similar philosophy was enunciated by Israel Gelfand...

n-dimensional complex representations of LF and, in the global case, the cuspidal automorphic representations of GLn(AF), where AF denotes the adeles of...

in modular form theory Cusp neighborhood, a set of points near a cusp Cuspidal representation, a generalization of cusp forms in the theory of automorphic...

the complex plane curve of zeroes of the complex polynomial z2 + w3 (a cuspidal cubic). If one end of a tape or belt is turned over three times and then...

representations of a general linear group over a local field in terms of cuspidal representations. Bernstein, J. (1992), Representations of p-adic groups...

In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by Eichler (1957)...

combinatorics, and physics. A common example of an eigenform, and the only non-cuspidal eigenforms, are the Eisenstein series. Another example is the Δ Function...

formulation of the generalized Ramanujan conjecture is for a globally generic cuspidal automorphic representation of a connected reductive group, where the generic...

{\displaystyle f} is cuspidal at the cusp c {\displaystyle c} if f ′ {\displaystyle f'} is cuspidal at infinity. If f {\displaystyle f} is cuspidal at every cusp...

on the surface corresponds to a cuspidal edges so each sheet of the elliptical focal surface will have three cuspidal edges which come together at the...

and the other has one line passing through it. Ridge lines correspond to cuspidal edges on the focal surface. Ridge detection Porteous, Ian R. (2001). "Ridges...

In mathematics, a unipotent representation of a reductive group is a representation that has some similarities with unipotent conjugacy classes of groups...