- gabor analysis over finite abelian groups🔍
- Chapter 1 Group Representations🔍
- Group representations Volume 3🔍
- METABELIAN GROUPS WITH AN IRREDUCIBLE PROJECTIVE ...🔍
- Projective representation theory for compact quantum groups ...🔍
- Phase retrieval for continuous Gabor frames on locally compact ...🔍
- 20C35 Applications of group representations to physics🔍
- On generalized Clifford algebras and their physical applications🔍
Projective Representations of Finite Abelian Groups with Applications
gabor analysis over finite abelian groups - CiteSeerX
The projective group representation ρ : G → V of G is called irreducible if ... We attack this problem by an application of the. Janssen representation of Λ- ...
Chapter 1 Group Representations
More precisely, they correspond to the points of the projective space P(V ) formed by the ... Proposition 3.2 A simple representation of a finite abelian group ...
Group representations Volume 3 - Hochschule für Technik und ...
... projective Schur index and projective representations of abelian groups are covered. ... finite abelian groups. The second part is devoted to Clifford theory for ...
METABELIAN GROUPS WITH AN IRREDUCIBLE PROJECTIVE ...
Conversely, if G is abelian and T* is a faithful irreducible projective representation then T*(l)2 = [G: 1]. We study metabelian groups G admitting an ...
Projective representation theory for compact quantum groups ... - HAL
In the following, all representations will be assumed unitary. Any irreducible representation u has finite dimensional H, so then u P BpHqbCpGq.
Phase retrieval for continuous Gabor frames on locally compact ...
Let G be any finite abelian group and 𝜋 ∶ G → 𝐔(V) be an irreducible projective representation of G. Then the set of v ∈ V for which Φv is phase retrievable is ...
20C35 Applications of group representations to physics - EuDML
20Cxx Representation theory of groups · 20C05 Group rings of finite groups and ... Projective representations and multipliers · 20C30 Representations of ...
On generalized Clifford algebras and their physical applications
Dedicated to the memory of Professor Alladi Ramakrishnan. Clifford algebra; generalized Clifford algebras; projective representations of finite abelian groups ...
Modular Representations of Finite Groups
(Optional: pick a group and do the following for every dividing the order.) Compute the character table, the Brauer characters, the characters of the projective ...
FROBENIUS–SCHUR INDICATORS FOR PROJECTIVE ...
FROBENIUS–SCHUR INDICATORS FOR PROJECTIVE CHARACTERS WITH APPLICATIONS. ... Part of: Representation theory of groups ... finite abelian group, called the Schur ...
Characters of finite abelian groups - Keith Conrad
Fourier series on finite abelian groups have applications in engineering: signal processing (the fast Fourier transform [1, Chap. 9]) and error-correcting codes ...
Projective representations for energy band calculations
Lyubarskii, The ApplicatiOn of Group Theory in Physics (Pergamon Press, 1960). ... The computation of irreducible representations of finite groups of order 2 , n ...
Characters of Finite Abelian Groups
... application of the Fundamental Theorem of Finite Abelian Groups. Recall that the Fundamental Theorem states that every finite abelian group is a direct sum.
Remarks on Frames from Projective Representations of Locally ...
Journal: Journal of Fourier Analysis and Applications, 2024, № 5 ... projective representation frames for finite abelian groups. J. Fourier Anal ...
12.4 Applications of Representation Theory - Fiveable
Review 12.4 Applications of Representation Theory for your test on Unit 12 – Finite Group Representation Theory. For students taking Groups ...
Irreducible adjoint representations in prime power dimensions, with ...
We construct an infinite family of representations of finite groups with an ir- reducible adjoint action and we give an application to the question of lacunary ...
cible representations of a finite abelian group ... abelian groups that admit faithful irreducible projective representations (Frucht [Fru]).
Notes on Representations of Finite Groups
In addition to great relevance in nearly all fields of mathematics, representation theory has many applications outside of mathematics. For example, it is used ...
Irreducible projective representations and their physical applications
58 References ; On Projective Unitary‐Antiunitary Representations of Finite Groups · T. Janssen · 1972 · 19 Citations ; On the projective ...
Several remarks on projective representations of finite groups
Let be a finite group and N a normal subgroup of 6 with abelian quotient group =6/. We denote for a group 6 by R(S) the set of all irreducible representation ...