ar X iv : 0 90 1 . 44 03 v 3 [ m at h . C T ] 2 5 Ju n 20 09 A * - autonomous Category of Banach Spaces – Corrected

ar X iv : 0 90 6 . 32 49 v 1 [ m at h . N T ] 1 7 Ju n 20 09 THE HALF - INTEGRAL WEIGHT EIGENCURVE

— In this paper we define Banach spaces of overconvergent half-integral weight p-adic modular forms and Banach modules of families of overconvergent halfintegral weight p-adic modular forms over admissible open subsets of weight space. Both spaces are equipped with a continuous Hecke action for which U p2 is moreover compact. The modules of families of forms are used to construct an eigencurve ...

ar X iv : 0 81 1 . 40 90 v 3 [ m at h . Q A ] 2 3 Ju n 20 09 MODULE CATEGORIES OVER POINTED HOPF ALGEBRAS

We develop some techniques for studying exact module categories over some families of pointed finite-dimensional Hopf algebras. As an application we classify exact module categories over the tensor category of representations of the small quantum groups uq(sl2).

ar X iv : m at h / 03 09 39 5 v 1 [ m at h . R T ] 2 4 Se p 20 03 A ( n , n ) - GRADED LIE SUPERALGEBRAS

We determine the Lie superalgebras over fields of characteristic zero that are graded by the root system A(n, n) of the special linear Lie superalgebra psl(n + 1, n + 1).

ar X iv : 0 90 6 . 48 35 v 1 [ m at h . O C ] 2 6 Ju n 20 09 The Complex Gradient Operator and the CR - Calculus

ar X iv : 0 90 6 . 32 38 v 1 [ m at h . N T ] 1 7 Ju n 20 09 GEOMETRIC AND p - ADIC MODULAR FORMS OF HALF - INTEGRAL WEIGHT by Nick