AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
نویسندگان
چکیده
منابع مشابه
String duality, automorphic forms, and generalized Kac-Moody algebras
finding the pole requires analytic continuation unless there are boundstates at threshhold in the sector Q1 + Q2. The residue of the pole must be expressed in terms of matrix elements with on-shell states. By charge conservation and the Bogomolnyi bound these states must be the BPS states in the superselection sectorQ1+Q2. Therefore the residue of the pole “factors through” the space of BPS sta...
متن کاملAutomorphic Forms
We apply a theorem of J. Lurie to produce cohomology theories associated to certain Shimura varieties of type U(1, n−1). These cohomology theories of topological automorphic forms (TAF ) are related to Shimura varieties in the same way that TMF is related to the moduli space of elliptic curves. We study the cohomology operations on these theories, and relate them to certain Hecke algebras. We c...
متن کاملTowards a classification of Lorentzian holonomy groups. Part II: Semisimple, non-simple weak-Berger algebras
The holonomy group of an (n+2)–dimensional simply-connected, indecomposable but non-irreducible Lorentzian manifold (M,h) is contained in the parabolic group (R × SO(n)) ⋉ R. The main ingredient of such a holonomy group is the SO(n)–projection G := prSO(n)(Holp(M,h)) and one may ask whether it has to be a Riemannian holonomy group. In this paper we show that this is always the case, completing ...
متن کاملk-hypermonogenic automorphic forms
In this paper we deal with monogenic and k-hypermonogenic automorphic forms on arithmetic subgroups of the Ahlfors-Vahlen group. Monogenic automorphic forms are exactly the 0-hypermonogenic automorphic forms. In the first part we establish an explicit relation between k-hypermonogenic automorphic forms and Maaß wave forms. In particular, we show how one can construct from any arbitrary non-vani...
متن کاملOverconvergent Algebraic Automorphic Forms
I present a general theory of overconvergent p-adic automorphic forms and eigenvarieties for connected reductive algebraic groups G whose real points are compact modulo centre, extending earlier constructions for forms of GLn due to Buzzard, Chenevier and Yamagami. This leads to some new phenomena, including the appearance of intermediate spaces of “semiclassical” automorphic forms; this gives ...
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: International Journal of Mathematics
سال: 1998
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x98000117