Results 11 to 20 of about 1,857 (223)
Character sheaves and modular representations of finite reductive groups [PDF]
In this thesis, we study finite reductive groups and their modular representations in non-defining characteristic. In 1990, Geck stated a conjecture on the unitriangularity of decomposition matrices of these groups. Decomposition matrices encode the link between ordinary representations (over a field of characteristic zero) and modular ...
Roth, Marie
core +4 more sources
Modular transformations of admissible N = 2 and Affine sl(2|1;C) characters [PDF]
This thesis is a study of the affine super-algebra sl(2|l; C) and N = 2 superconformal algebra at fractional levels. In the first chapter we review background material on Conformal Field Theory, and how it appears in the context of string theory and the ...
Sadeghi, Jafar
core +6 more sources
Higher level appell functions, modular transformations and non-unitary characters [PDF]
In this thesis, we firstly extend elements and periodicity properties of the theta function theory to functions that represent a wider domain of symmetries and properties, graded with different amounts of p ≥ 1, p ϵ N.
Ghominejad, Mehrdad
core +6 more sources
Endotrivial modules for finite groups of Lie type. [PDF]
We classify the endotrivial modules for all finite groups of Lie type in defining ...
Mazza, Nadia +2 more
core +4 more sources
Level-Raising for GSp(4) [PDF]
This thesis provides congruences between unstable and stable automorphic forms for the symplectic similitude group $GSp(4)$. More precisely, we raise the level of certain CAP representations $Pi$ of Saito-Kurokawa type, arising from classical modular ...
Sorensen, Claus Mazanti
core +1 more source
Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core +1 more source
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
core +1 more source
Higher-Level Appell Functions, Modular Transformations, and Characters [PDF]
We study modular transformation properties of a class of indefinite theta series involved in characters of infinite-dimensional Lie superalgebras. The level- Appell functions satisfy open quasiperiodicity relations with additive theta-function terms ...
A.M. Semikhatov +5 more
core +1 more source
Quasi-isolated blocks and Brauer's height zero conjecture [PDF]
Received: 19 December 2011 Revised: 16 October 2012 Accepted: 16 November 2012Peer ...
Malle, Gunter +6 more
core +1 more source
The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
core +2 more sources

