Classification of double flag varieties of complexity 0 and 1
Elizaveta Ponomareva

TL;DR
This paper classifies double flag varieties with low complexity and explores their application in decomposing tensor products of irreducible representations of semisimple Lie groups.
Contribution
It provides a complete classification of double flag varieties of complexity 0 and 1, linking geometric structures to representation theory.
Findings
Classification of double flag varieties of complexity 0 and 1
Application to tensor product decomposition of Lie group representations
Enhanced understanding of geometric and algebraic connections
Abstract
A classification of double flag varieties of complexity 0 and 1 is obtained. An application of this problem to decomposing tensor products of irreducible representations of semisimple Lie groups is considered.
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