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Algebraic Graph Theory
, 2011
"... Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investiga ..."
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Cited by 892 (13 self)
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Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area
Skew group algebras and their Yoneda algebras
 Math. J. Okayama Univ
"... Abstract Skew group algebras appear in connection with the study of singularities [1], ..."
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Cited by 9 (3 self)
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Abstract Skew group algebras appear in connection with the study of singularities [1],
Twisted automorphisms of group algebras
"... We continue the study of twisted automorphisms of Hopf algebras started in [4]. In this paper we concentrate on the group algebra case. We describe the group of twisted automorphisms of the group algebra of a group of order coprime to 6. The description turns out to be very similar to the one for th ..."
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Cited by 2 (0 self)
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We continue the study of twisted automorphisms of Hopf algebras started in [4]. In this paper we concentrate on the group algebra case. We describe the group of twisted automorphisms of the group algebra of a group of order coprime to 6. The description turns out to be very similar to the one
Generalized Commutativity in Group Algebras
"... Abstract. We study group algebras FG which can be graded by a nite abelian group such that FG iscommutative for a skewsymmetric bicharacter on with values in F. 1 ..."
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Cited by 1 (0 self)
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Abstract. We study group algebras FG which can be graded by a nite abelian group such that FG iscommutative for a skewsymmetric bicharacter on with values in F. 1
The range of group algebra homomorphisms
 CANAD. MATH. BULL
, 1997
"... A characterisation of the range of a homomorphism between two commutative group algebras is presented which implies, among other things, that this range is closed. The work relies mainly on the characterisation of such homomorphisms achieved by P. J. Cohen. ..."
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Cited by 1 (0 self)
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A characterisation of the range of a homomorphism between two commutative group algebras is presented which implies, among other things, that this range is closed. The work relies mainly on the characterisation of such homomorphisms achieved by P. J. Cohen.
Duadic Group Algebra Codes
, 2007
"... Abstract — Duadic group algebra codes are a generalization of quadratic residue codes. This paper settles an open problem raised by Zhu concerning the existence of duadic group algebra codes. These codes can be used to construct degenerate quantum stabilizer codes that have the nice feature that man ..."
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Cited by 1 (0 self)
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Abstract — Duadic group algebra codes are a generalization of quadratic residue codes. This paper settles an open problem raised by Zhu concerning the existence of duadic group algebra codes. These codes can be used to construct degenerate quantum stabilizer codes that have the nice feature
Generalising Group Algebras
, 2005
"... We generalise group algebras to other algebraic objects with bounded Hilbert space representation theory the generalised group algebras are called “host ” algebras. The main property of a host algebra, is that its representation theory should be isomorphic (in the sense of the Gelfand–Raikov theore ..."
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Cited by 6 (2 self)
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We generalise group algebras to other algebraic objects with bounded Hilbert space representation theory the generalised group algebras are called “host ” algebras. The main property of a host algebra, is that its representation theory should be isomorphic (in the sense of the Gelfand
DYNAMICAL TWISTS IN GROUP ALGEBRAS
, 2001
"... Abstract. We classify dynamical twists in group algebras of finite groups. Namely, we set up a bijective correspondence between gauge equivalence classes of dynamical twists (which are solutions of a certain nonlinear functional equation) and isomorphism classes of “dynamical data ” described in pu ..."
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Cited by 5 (0 self)
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Abstract. We classify dynamical twists in group algebras of finite groups. Namely, we set up a bijective correspondence between gauge equivalence classes of dynamical twists (which are solutions of a certain nonlinear functional equation) and isomorphism classes of “dynamical data ” described
THE SEMIPRIMITIVITY OF GROUP ALGEBRAS
"... Abstract. In this paper we brie
y discuss some recent results on the semiprimitivity problem for group algebras. For the most part, we stress those topics which do not appear in the fairly complete survey [P17]. In particular, we consider the controller of an ideal, examples associated with the cont ..."
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Abstract. In this paper we brie
y discuss some recent results on the semiprimitivity problem for group algebras. For the most part, we stress those topics which do not appear in the fairly complete survey [P17]. In particular, we consider the controller of an ideal, examples associated
Projective Group Algebras
, 1998
"... In this paper we apply a recently proposed algebraic theory of integration to projective group algebras. These structures have received some attention in connection with the compactification of the M theory on noncommutative tori. This turns out to be an interesting field of applications, since the ..."
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In this paper we apply a recently proposed algebraic theory of integration to projective group algebras. These structures have received some attention in connection with the compactification of the M theory on noncommutative tori. This turns out to be an interesting field of applications, since
Results 1  10
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17,709