Group algebras
Primitive central idempotents of certain finite semisimple group algebras
... finite group of order coprime to q, so that the group algebra π½ π [πΊ] is ...of group algebras is to find a complete set of primitive central idempotents of semisimple group algebra π½ π ...
12
Symmetric subgroups in modular group algebras
... Clearly, symmetric subgroups exist. It is easy to see that {1}, G and V (KG) are trivial examples of symmetric subgroups. This naturally raises a question of the existence of modular group algebras that ...
5
Ghost number of group algebras
... of group algebras for finite ...a group algebra measures the failure of the generating hypothesis on the stable module ...homotopy group functor, then the map is null ...homotopy group ...
133
Lie Nilpotent Group Algebras: A Survey
... nilpotent group algebras whose Lie nilpotency indices are next lower, namely 2p and 3p β 1 for p β₯ ...classifying group algebras which are Lie nilpotent having Lie nilpotency indices 2p, 3p β ...
8
Maximal quotient rings of prime nonsingular group algebras
... We are going to use Theorem 3 to handle general prime nonsingular group algebras of soluble groups, and for this we need to know when there are uniform right ideals in normal subgroup al[r] ...
132
Radicals of group algebras and permutation representations of symplectic groups
... generalise the result considerably and give an infinite class of simple groups with no multiply transitive permutation representations, namely the groups PSp4,q, q a prime power greater [r] ...
95
On the construction and application of Auslander Reiten quivers to certain group algebras
... In Chapter 1 we o u tlin e t h is theory in c lu d in g a technique fo r c o n s tru c tin g A-R sequences by J . A . Green [Gr 3]. In Chapter 2 we look a t group re p re se n ta tio n theory co n c e n tra tin g ...
136
Modules over group algebras which are free on restriction to a maximal subgroup
... It is further shown for pseudo-special groups that Y^ - S(fj) h ....h S(f8) for some polynomials, fj, . . . , ^ ; indeed a specific construction is given for these polynomials. The result just mentioned implies that not ...
216
Radical properties of certain group algebras
... Using the results of chapter 2 we are able to see that Fa is nilpotent-free tor any group G if F is a field of characteristic zero and tor all groups G such that G has no finite normal s[r] ...
108
Banach algebra amenability and group algebras
... Now, since locally compact Abelian groups are amenable, a commutative Banach algebra 21 has property G if and only if there is a locally compact Abelian group G and a dense-ranged homomo[r] ...
136
Generalized group algebras and their bundles
... Fild o f Banach spaces, continuity structures, Banach bundles, induced continuity structures, bundle morphisms product elds involution eld up-algebra bundles, bundle identes bundle mtipl[r] ...
48
\((G,\phi)\)-crossed product on \((G,\phi)\)-quasiassociative algebras
... Ο)-quasiassociative algebras, so of (G, Ο)-crossed products, are twisted group algebras K F G (see ...of algebras since we will pay special attention to them in this ...the group ...
25
ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... matrix algebras over the group algebras of automorphism groups of objects, one factor for each isomorphism class of objects, and the size of that isomorphism class is equal to the size of the ...
22
A Note on Locally Inverse Semigroup Algebras
... semigroup algebras are a class of semigroup algebras which is widely ...matrix algebras over group algebras of the maxi- mum subgroups of this finite inverse ...
5
Superpotentials, Calabi-Yau algebras, and PBW deformations
... reflection algebras. Sym- plectic reflection algebras are defined in [12] as PBW deformations of certain skew group algebras C [V ] β G, and hence we consider the Morita equivalent path ...
36
Unit group of algebra of circulant matrices
... Gildea, Units of Group Algebras , PhD Thesis, National University of Ireland, Galway, October 2007. [7] J[r] ...
6
On Azumaya algebras with a finite automorphism group
... Abstract. Let B be a ring with 1, C the center of B, and G a ο¬nite automorphism group of B. It is shown that if B is an Azumaya algebra such that B = β gβG J g where J g = { b β B | bx = g(x)b for all x β B } , ...
6
Bi-Gyrogroup: The Group-Like Structure Induced by Bi-Decomposition of Groups
... a group Ξ into a subset B and a sub- group H of Ξ induces, under general conditions, a group-like structure for B, known as a ...transformation group SO(1, n), n β N , in pseudo- Euclidean ...
32
FURTHER RESULTS OF NEUTROSOPHIC SUBALGEBRAS IN BCK=BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS
... Smarandache [10, 11] introduced the concept of neutrosophic sets which is more gen- eral platform to extend the notions of the classical set and (intuitionistic, interval val- ued) fuzzy set. Neutrosophic set theory is ...
9
Algebra of Finite-Valued Functions: Classification of Functions and Subalgebras, Essential and Fictitious Subalgebras
... maximal algebras. But the families of monotone algebras, linear algebras, and cellular algebras do not contain essentially maximal ...maximal algebras of families of self-dual ...
7