منابع مشابه
Coinvariants for Modular Representations of Cyclic Groups of Prime Order
We consider the ring of coinvariants for modular representations of cyclic groups of prime order. For all cases for which explicit generators for the ring of invariants are known, we give a reduced Gröbner basis for the Hilbert ideal and the corresponding monomial basis for the coinvariants. We also describe the decomposition of the coinvariants as a module over the group ring. For one family o...
متن کاملSPRINGER’S THEOREM FOR MODULAR COINVARIANTS OF GLn(Fq)
Two related results are proven in the modular invariant theory of GLn(Fq ). The first is a finite field analogue of a result of Springer on coinvariants of the symmetric group Sn acting on C[x1, . . . , xn]. It asserts that the following two Fqn [GLn(Fq )×F × q ]modules have the same composition factors: • the coinvariant algebra for GLn(Fq ) acting on Fqn [x1, . . . , xn], in which GLn(Fq ) ac...
متن کاملDecomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups
For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p. We then use the constructed invariants to describe the decomposition of the symmetric algebra as a module over the group ring, confirming the Periodicity Conjecture of Ian Hughes and Gregor Kemper for this case.
متن کاملDecomposing, Transforming and Composing Diagrams: the Joys of Modular Veriication
The paper proposes a modular framework for the veriication of temporal logic properties of systems based on the deductive transformation and composition of diagrams. The diagrams represent abstractions of the modules composing the system, together with information about the environment of the modules. The proof of a temporal speciication is constructed with the help of diagram transformation an...
متن کاملInteger Group of Coinvariants
The local structure of a tiling is described in terms of a multiplicative structure on its pattern classes. The groupoid associated to the tiling is derived from this structure and its integer group of coinvariants is defined. This group furnishes part of the K0-group of the groupoid C ∗-algebra for tilings which reduce to decorations of Z Z . The group itself as well as the image of its state ...
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: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.08.059