Search
Search Results
-
Discrete Automorphic Representations
In this chapter, we give the definition of a discrete automorphic representation. These are objects in the category of unitary representations of the...
-
Unramified Representations
In this chapter, we describe the classification of unramified representations of reductive groups over non-Archimedean local fields. Along the way,...
-
Linear representations of fundamental groups of Klein surfaces derived from spinor representations of Clifford algebras
We study actions of multiplicative subgroups of Clifford algebras on Riemann surfaces. We show that every Klein surface of algebraic genus greater...
-
Powers and roots of partial isometric covariant representations
Isometric covariant representations play an important role in the study of Cuntz–Pimsner algebras. In this article, we study partial isometric...
-
Deformation of Rigid Conjugate Self-dual Galois Representations
In this article, we study deformations of conjugate self-dual Galois representations. The study is twofold. First, we prove an R=T type theorem for a...
-
Prym representations of the handlebody group
Let S be an oriented, closed surface of genus g . The map** class group of S is the group of orientation preserving homeomorphisms of S modulo...
-
Representations of signed graphs
We extend the concept of graph representations modulo integers introduced by Erdös and Evans to graph representations over finite rings and...
-
Some Infinite-Dimensional Representations of Certain Coxeter Groups
A Coxeter group admits infinite-dimensional irreducible complex representations if and only if it is not finite or affine. In this paper, we provide...
-
Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs
We study and classify a class of representations (called generalized geometric representations) of a Coxeter group of finite rank. These...
-
Continuous Nakayama Representations
We introduce continuous analogues of Nakayama algebras. In particular, we introduce the notion of (pre-)Kupisch functions, which play a role as...
-
Separable Algorithmic Representations of Classical Systems and their Applications
The main results of the theory of separable algorithmic representations of classical algebraic systems are presented. The most important classes of...
-
Σ -Functions of the Categories of Matrix Representations of Nilpotent Semigroups
We study the categories of matrix representations of nilpotent semigroups over an arbitrary field. Our main attention is given to the Auslander...
-
Free group representations from vector-valued multiplicative functions. III
Let π be an irreducible unitary representation of a finitely generated non-abelian free group Γ; suppose π is weakly contained in the regular...
-
Birational Maps to Grassmannians, Representations and Poset Polytopes
We study the closure of the graph of the birational map from a projective space to a Grassmannian. We provide explicit description of the graph...
-
Transfer of Highest Weight Modules and Small Unipotent Representations
We study the transfer between small special unipotent representations for all equal rank real forms of type E 6 and E 7 . As a consequence, one can...
-
Some Remarks on Projective Representations of Compact Groups and Frames
In this paper, we study continuous frames with symmetries from projective representations of compact groups. In particular, we study maximal spanning...
-
Coxeter quiver representations in fusion categories and Gabriel’s theorem
We introduce a notion of representation for a class of generalised quivers known as Coxeter quivers . These representations are built using fusion...
-
Representations of generalized bound path algebras
The concept of generalized path algebras was introduced in Coelho and Liu (Lecture Notes in Pure and Appl. Math. 210, 53–66, 2000). Roughly speaking,...
-
Euler-type integral representations for the Kampé de Fériet functions
In this paper, the Kampé de Fériet functions of arbitrary orders and their Euler-type integral representations are studied. The general form of the...