A. Kushkuley

collaborators

4 papers

math.PR2026

A Remark on Random Vectors and Irreducible Representations

Alexander Kushkuley

The expectation of a squared scalar product of two random independent unit vectors that are uniformly distributed on a unit sphere in $R^{n}$ is equal to $1/ n$ . We show tha…

math.NA2026

Absolute values and tensor powers of irreducible characters

Alexander Kushkuley

Let $I ¨ $ be a character of a complex irreducible representation of a finite group $G$ . We present a simple formula for the expectation of the random variable $(∣ I ¨ ∣/ I ¨ (1))^{t}$ i…

math.RT2025

Identities of Irreducible Representations and Gassmann Equivalence

Alexander Kushkuley

Identities of complex irreducible representations of finite groups can be explicitly constructed from character value sets. Among other things, these identities determine represent…

math.NA2025

Some Remarks on Commuting Probability

Alexander Kushkuley

We introduce a weighted sum of irreducible character ratios as an estimator for commutator probabilities. The estimator yields Frobenius formula when applied to a regular represent…