Filtered Frobenius algebras. II
نویسندگان
چکیده
منابع مشابه
On Filtered Multiplicative Bases of Group Algebras Ii
We give an explicit list of all p-groups G with a cyclic subgroup of index p2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group algebra KG, in the case when G is either a powerful p-group or a two generated p-group ( p 6= 2 ) with a central cyclic commutator subgroup. This p...
متن کاملOrbifolding Frobenius Algebras
We study the general theory of Frobenius algebras with group actions. These structures arise when one is studying the algebraic structures associated to a geometry stemming from a physical theory with a global finite gauge group, i.e. orbifold theories. In this context, we introduce and axiomatize these algebras. Furthermore, we define geometric cobordism categories whose functors to the catego...
متن کاملConstructing Frobenius Algebras
We discuss the relationship between algebras, coalgebras, and Frobenius algebras. We describe a method of constructing a Frobenius algebra, given a finite-dimensional algebra, and we demonstrate the method with several concrete examples.
متن کاملSecond Quantized Frobenius Algebras
We show that given a Frobenius algebra there is a unique notion of its second quantization, which is the sum over all symmetric group quotients of n–th tensor powers, where the quotients are given by symmetric group twisted Frobenius algebras. To this end, we consider the setting of Frobenius algebras given by functors from geometric categories whose objects are endowed with geometric group act...
متن کاملFROBENIUS n-GROUP ALGEBRAS
Frobenius algebras play an important role in the representation theory of finite groups. In the present work, we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of ring, we can obtain some information about constructions of module category over this ring ([2], p. 66–67).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1968
ISSN: 0021-8693
DOI: 10.1016/0021-8693(68)90006-9