Asymptotic and catalytic containment of representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">SU</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>

Abstract

Given two finite-dimensional representations ρ and σ of SU(n), when is there n∈ℕ such that ρ ⊗n is isomorphic to a subrepresentation of σ ⊗n ? When is there a third representation η such that ρ⊗η is a subrepresentation of σ⊗η? We call these the questions of asymptotic and catalytic containment, respectively.

Locations

• Algebraic Combinatorics - View - PDF
• arXiv (Cornell University) - View - PDF