Displaying similar documents to “On overgroups of E ( E 6 , R ) and E ( E 7 , R ) in their minimal representations.”

Factor representations of diffeomorphism groups

Robert P. Boyer (2003)

Studia Mathematica

Similarity:

We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...

On near-perfect and deficient-perfect numbers

Min Tang, Xiao-Zhi Ren, Meng Li (2013)

Colloquium Mathematicae

Similarity:

For a positive integer n, let σ(n) denote the sum of the positive divisors of n. Let d be a proper divisor of n. We call n a near-perfect number if σ(n) = 2n + d, and a deficient-perfect number if σ(n) = 2n - d. We show that there is no odd near-perfect number with three distinct prime divisors and determine all deficient-perfect numbers with at most two distinct prime factors.

W-perfect groups

Selami Ercan (2015)

Open Mathematics

Similarity:

In the present article we define W-paths of elements in a W-perfect group as a useful tools and obtain their basic properties.