Quadratic Weyl representations
نویسندگان
چکیده
منابع مشابه
Weyl Sums for Quadratic Roots
The most powerful methods for handling these sums exploit the modern theory of automorphic forms; see [DFI1] for spectral aspects and [DIT] for more arithmetical connections. The sum (1.1) has only a few terms, bounded by the divisor function, so there is not much room for cancellation, but for applications there is a lot of interest in bounds for sums of these as the modulus c varies, say (1.2...
متن کاملNew type of Weyl semimetal with quadratic double Weyl fermions.
Weyl semimetals have attracted worldwide attention due to their wide range of exotic properties predicted in theories. The experimental realization had remained elusive for a long time despite much effort. Very recently, the first Weyl semimetal has been discovered in an inversion-breaking, stoichiometric solid TaAs. So far, the TaAs class remains the only Weyl semimetal available in real mater...
متن کاملRadix Representations of Quadratic Fields
Let p be an algebraic integer in a quadratic number field whose minimum polynomial is x1 + p, x + p,,. Then all the elements of the ring Z [ p] can be written uniquely in the base p as CFS:=o a,pk, where 0 < ak < 1 pa 1, if and only ifp, > 2 and-1 <P,<Po. 1. 1NTR00uc-1~0~ Various bases have been proposed for writing complex numbers in positional notation as a single string of digits, without se...
متن کاملHybrid Bounds for Quadratic Weyl Sums and Arithmetic Applications
Let D < 0 be an odd fundamental discriminant and q be a prime number which splits in Q( √ D). Given a suitable smooth function f supported on [X, 2X] for X ≥ 1, we establish a uniform bound in X,D and q for ∑ c≡0 (mod q) Wh(D; c)f(c),
متن کامل6 Full Heaps and Representations of Affine Weyl Groups
We use the author's combinatorial theory of full heaps to categorify the action of a large class of Weyl groups on their root systems, and thus to give an elementary and uniform construction of a family of faithful permutation representations of Weyl groups. Examples include the standard representations of affine Weyl groups as permutations of Z and geometrical examples such as the realization ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1998
ISSN: 0034-5318
DOI: 10.2977/prims/1195144824