Reciprocity theorems in the theory of representations of groups and algebras

Antoni Wawrzyńczyk

Displaying similar documents to “Reciprocity theorems in the theory of representations of groups and algebras”

Commutativity of the Schur algebra.

Teicher, Mina (1997)

Beiträge zur Algebra und Geometrie

Similarity:

Factor representations of diffeomorphism groups

Robert P. Boyer (2003)

Studia Mathematica

Similarity:

We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...

Group Representations which Vanish at Infinity.

Keith F. Taylor (1980)

Mathematische Annalen

Similarity:

Representations of the direct product of matrix algebras

Daniele Guido, Lars Tuset (2001)

Fundamenta Mathematicae

Similarity:

Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem...

Reciprocity theorems in the theory of representations of groups

A. Strasburger, A. Wawrzyńczyk (1972)

Studia Mathematica

Similarity:

Representations of presheaves of closure space

Jaroslav Drahoš (1972)

Czechoslovak Mathematical Journal

Similarity:

Conditional independence and its representations

Judea Pearl, Dan Geiger, Thomas S. Verma (1989)

Kybernetika

Similarity:

Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms

Łukasz Garncarek (2014)

Colloquium Mathematicae

Similarity:

We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.

On the representation theory of braid groups

Ivan Marin (2013)

Annales mathématiques Blaise Pascal

Similarity:

This work presents an approach towards the representation theory of the braid groups $B_{n}$ . We focus on finite-dimensional representations over the field of Laurent series which can be obtained from representations of infinitesimal braids, with the help of Drinfeld associators. We set a dictionary between representation-theoretic properties of these two structures, and tools to describe the representations thus obtained. We give an explanation for the frequent apparition of unitary structures...

Representations of bornological algebras.

Abel, M. (2005)

Zapiski Nauchnykh Seminarov POMI

Similarity: