… -submodule of RΓ-module besides some of its basic properties. In this paper, Z-prime RΓ-submodule
of RΓ-module and … Z- prime RΓ-submodule with other RΓ-modules is investigated. …

n= 0 anqn(0.1)(an∈ Fp) of such a form, θ is given by qd/dq. It lifts, by the same formula, to
the space of p-adic modular forms. This suggests a relation with the Tate twist of the mod p …

… modular forms. The second difference is that the decomposition of the cuspidal group in the
factors of the modular … and let (r) be the field of modular function for r sions at the infinity cusp …

… of $\Gamma$ with coefficients in any $\Gamma$-module A is … {\Gamma}$A where S$\sb{\rm
G}$ is the Steinburg module of … Then the module V can be realized as the submodule of S10(…

… general principle in the theory of modular curves that whenever there is a congruence
between two modular forms, there should be a fusion module which explains the congruence. Let …

We compare the homology of a congruence subgroup Γ of GL 2 ( Z ) with coefficients in the
Steinberg modules over Q and over E, where E is a real quadratic field. If R is any …

… Let R[X]≤r be the submodule of polynomials over R with degree at most r. Let B be the
Borel … For every u ∈ Z prime to ℓ, there exists a positive integer β ≡ u mod ℓr and a ∈ A× …

… Specht module, |$\mathbb{S}^{\lambda }$|⁠, appears with positive multiplicity in the isotypic
decomposition of the cohomology modules … we consider homology or cohomology modules. …

… From the homological algebra perspective, one of the easiest definitions is the following:
given an ideal a in a commutative ring, for each module we consider the submodule of …

By analogy with the Choi matrix we associate an operator $$C_{\varphi }\in \mathrm{B}({\mathscr
{H}})$$ C φ ∈ B ( H ) to each weak* continuous $${\mathscr {A}}$$ A -bimodule map $$…