• SREEJIL K
• Dr. PUNEET KUMAR AGARWAL

A ‘2-group’ is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on ‘2-vector spaces’, which are categories analogous to vector spaces. Let Γ be a finite abelian group and let H be an infinite-dimensional separable complex Hilbert space. We prove that the set of realizable by action unitary representations of Γ on H is comeager in the space of all unitary representations of Γ on H.

Unitary representation, Group action, vector spaces, Finite Groups

"CONCEPTUAL FRAMEWORK ON UNITARY 2-REPRESENTATIONS OF FINITE GROUPS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.1433-1437, February-2019, Available :http://www.jetir.org/papers/JETIR1902E03.pdf

"CONCEPTUAL FRAMEWORK ON UNITARY 2-REPRESENTATIONS OF FINITE GROUPS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1433-1437, February-2019, Available at : http://www.jetir.org/papers/JETIR1902E03.pdf