Results 21 to 30 of about 511,555 (281)
Twisted group algebras I [PDF]
Communications in Mathematical Physics, 1969 A generalization of the group algebra of a locally compact group is studied, by expressing the group algebra of a central group extension as the direct sum of closed *-ideals each one of which is isomorphic to such a “twisted” group algebra. In particular, the representation theory of such algebras is associated with the theory of projective ...
Edwards, C. M., Lewis, J. T.
openaire +3 more sources
EPJ Web of Conferences, 2014 In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain.
Irwansyah +4 more
doaj +1 more source
C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups [PDF]
International Journal of Mathematics, 1997 We associate to an algebraic quantum group a C*-algebraic quantum group and show that this C*-algebraic quantum group essentially satisfies an upcoming definition of Masuda, Nakagami and Woronowicz.
Kustermans, J., Van Daele, A.
openaire +2 more sources
Group codes over binary tetrahedral group
Journal of Mathematical Cryptology, 2022 In this article, the group algebra K[T]{\mathcal{K}}\left[{\mathscr{T}}] of the binary tetrahedral group T{\mathscr{T}} over a splitting field K{\mathcal{K}} of T{\mathscr{T}} with char(K)≠2,3{\rm{char}}\left({\mathcal{K}})\ne 2,3 is studied and the ...
Dadhwal Madhu, Pankaj
doaj +1 more source
On the unit group of a semisimple group algebra $\mathbb{F}_qSL(2, \mathbb{Z}_5)$ [PDF]
Mathematica Bohemica, 2022 We give the characterization of the unit group of $\mathbb{F}_qSL(2, \mathbb{Z}_5)$, where $\mathbb{F}_q$ is a finite field with $q = p^k$ elements for prime $p > 5,$ and $SL(2, \mathbb{Z}_5)$ denotes the special linear group of $2 \times2$ matrices ...
Rajendra K. Sharma, Gaurav Mittal
doaj +1 more source
Algebraic automorphism groups of pro-affine algebraic groups [PDF]
Proceedings of the American Mathematical Society, 1980 We study the maximum connected algebraic subgroup of automorphisms of certain pro-affine algebraic groups.
openaire +2 more sources
Unit groups of finite group algebras of Abelian groups of order 17 to 20
AIMS Mathematics, 2021 Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |
Yunpeng Bai , Yuanlin Li, Jiangtao Peng
doaj +1 more source
On unit P-Groups in Group Algebra [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :The aim of this paper we have define the group of units U(F(G)), where F(G) is the group algebra with G is finite group over a field F. Now if char F=0 and G nonabelian or F is a nonabsolute field of characterstic > 0 and G/ O (G) is nonabelian, then it
ALAA .A. AWAD
doaj +1 more source
Codes in Dihedral Group Algebra
Моделирование и анализ информационных систем, 2018 Robert McEliece developed an asymmetric encryption algorithm based on the use of binary Goppa codes in 1978 and no effective key attacks has been described yet.
Kirill V. Vedenev, Vladimir M. Deundyak
doaj +1 more source