diff --git a/src/identity.jl b/src/identity.jl
index 7c300fa..04dde86 100644
--- a/src/identity.jl
+++ b/src/identity.jl
@@ -76,12 +76,12 @@ end
 Base.IndexStyle(::Type{<:IdentityMultiple}) = IndexLinear()
 Base.size(𝐼::IdentityMultiple) = (𝐼.n, 𝐼.n)
 
-function Base.getindex(𝐼::IdentityMultiple, inds...)
+function Base.getindex(𝐼::IdentityMultiple, inds::Integer...)
     any(idx -> idx > 𝐼.n, inds) && throw(BoundsError(𝐼, inds))
     return getindex(𝐼.M, inds...)
 end
 
-function Base.getindex(𝐼::IdentityMultiple{T}, ind) where {T}
+function Base.getindex(𝐼::IdentityMultiple{T}, ind::Integer) where {T}
     if 1 ≤ ind ≤ 𝐼.n^2
         return rem(ind - 1, 𝐼.n + 1) == 0 ? 𝐼.M.λ : zero(T)
     else
@@ -94,8 +94,6 @@ function Base.setindex!(::IdentityMultiple, ::Any, inds...)
 end
 
 Base.:(-)(𝐼::IdentityMultiple) = IdentityMultiple(-𝐼.M, 𝐼.n)
-Base.:(+)(𝐼::IdentityMultiple, M::AbstractMatrix) = 𝐼.M + M
-Base.:(+)(M::AbstractMatrix, 𝐼::IdentityMultiple) = M + 𝐼.M
 Base.:(*)(x::Number, 𝐼::IdentityMultiple) = IdentityMultiple(x * 𝐼.M, 𝐼.n)
 Base.:(*)(𝐼::IdentityMultiple, x::Number) = IdentityMultiple(x * 𝐼.M, 𝐼.n)
 Base.:(/)(𝐼::IdentityMultiple, x::Number) = IdentityMultiple(𝐼.M / x, 𝐼.n)
@@ -193,8 +191,4 @@ end
 # callable identity matrix given the scaling factor and the size
 IdentityMultiple(λ::Number, n::Int) = IdentityMultiple(λ * I, n)
 
-function LinearAlgebra.Hermitian(𝐼::IdentityMultiple)
-    return Hermitian(Diagonal(fill(𝐼.M.λ, 𝐼.n)))
-end
-
 Base.exp(𝐼::IdentityMultiple) = IdentityMultiple(exp(𝐼.M.λ), 𝐼.n)
diff --git a/test/identity.jl b/test/identity.jl
index adf0737..fb5b33b 100644
--- a/test/identity.jl
+++ b/test/identity.jl
@@ -76,6 +76,7 @@ end
 end
 
 @testset "Specific methods for IdentityMultiple" begin
+    @test Diagonal(Id(2)) == Diagonal([1.0, 1])
     @test Hermitian(Id(2)) == Hermitian([1.0 0; 0 1])
     @test exp(Id(3, 1)) == Id(3, exp(1))
 end