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In the theory of operads we consider functors of generalized symmetric powers defined by sums of coinvariant modules under actions of symmetric groups. One observes classically that the construction o...
On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
unitary representation Zuckerman’s derived functor module branching law reductive group D-module flag variety
2011/9/6
Abstract: In this paper, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(\lambda) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decomposes ...
Wach modules and critical slope p-adic L-functions
p-adic L-function Wach module ordinary modular form.
2011/1/17
We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an ordinary modular form using the methods of [LLZ10a]. We show that it may be decomposed as a sum of two bounded measures ...
On t-lifting Modules and t-semiperfect Modules
t-lifting modules Projective t-covers t-supplement submodules t-semiperfect modules
2010/2/25
Motivated by [1], we study on t-lifting modules (rings) and t-semiperfect modules (rings) for a preradical t and give some equivalent conditions. We prove that; i) if M is a projective t-lifting modul...