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Projective Representations of Finite Abelian Groups with Applications


Projective Representations of Finite Abelian Groups with Applications

A finite Abelian group C is of hyperbolic type it admits a factorization C = C 1 × C 2, where C 1 and C 2 are cyclic p-groups of the same order, ...

Projective Representations of Finite Abelian Groups with Applications

Request PDF | Projective Representations of Finite Abelian Groups with Applications | In this chapter, we describe the irreducible projective ...

Projective Representations of Abelian Groups - ScienceDirect.com

Let G be a finite elementary abelian p-group. Given a 2-cocycle α of G over the field of complex numbers, we show how to construct an irreducible projective ...

Projective representations of finite abelian groups with applications

In this chapter, we describe the irreducible projective representations of a finite Abelian group: we shall use the Clifford theory from the previous chapter.

Some projective representations of finite abelian groups

In this paper, we continue the work initiated by Morris [5] and Saeed-ul-Islam [6,7] and determine complete sets of inequivalent irreducible projective ...

Some projective representations of finite abelian groups

SOME PROJECTIVE REPRESENTATIONS OF. FINITE ABELIAN GROUPS by A. O. MORRIS, M. SAEED-UL-ISLAM and E. THOMAS. (Received 19 January, 1986).

ON IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF FINITE ...

Frucht in [10], [11] determined the irreducible projective representations of finite abelian groups. ... Surveys in Mathematics and its Applications 4 (2009), 191 ...

PROJECTIVE REPRESENTATIONS OF ABELIAN GROUPS 260

Abstract. Let co be a factor system for the locally compact abelian group G. Then we show that the finite-dimensional unitary irreducible projective ...

Projective Representations of finite abelian groups

Let A be a finite abelian group, k an algebraically closed field of characteristic 0 and ϕ a 2-cocycle on A with value in k.

character theory for projective representations of finite groups

In the case where G is abelian, we can describe the degrees explicitly (Theorem 5.28). In Section 6, we study the group of virtual projective characters Rα(G) ...

Review of Projective Representations of Finite Groups

Projective representations take their name from projective geometry. To be specific, let G be a finite group, K a field, and V a finite-dimensional.

On the projective representations of finite Abelian groups. II

On the projective representations of finite Abelian groups. II ... Complete sets of inequivalent irreducible projective representations of Cnm ={w ...

On the Form of the Finite-Dimensional Projective Representations of ...

If the locally compact abelian group G has a finite- dimensional unitary irreducible projective representation with factor system w (i.e. G has an co-rep), then ...

Projective representations of groups - Alistair Savage

The representation theory of symmetric group is a special case of the representation theory of finite groups that provides a vast range of applications, ranging ...

(PDF) Projective Representations of Abelian Groups | Alun Morris

PROJECTIVE REPRESENTATIONS OF ABELIAN GROUPS A. O. MORRIS Let G be a finite Abelian group of order nm generated by m elements glt ...,gm of order n, ...

On projective representations of finite Abelian groups - SpringerLink

'On projective representations of finite Abelian groups' published in 'Number Theory'

Phase Retrievable Projective Representation Frames for Finite ...

Consequently the complement of the set of all the maximal span frame vectors for any projective unitary representation of any finite abelian group is Zariski- ...

Representations of finite abelian groups Cnm,p | Cambridge Core

1.Isaacs, I. M., Character Theory of Finite Groups (Academic Press, 1976). · 2.Morris, A. O., Projective representations of abelian groups, J. · 3.Read, E. W., ...

On projective representations of finite Abelian groups

This paper presents a complete description of a simple procedure of obtaining explicitly all the inequivalent irreducible projective matrix representations ...


Advanced Modern Algebra

Book by Joseph J. Rotman