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Group Representations Local Fields BPS Algebras Non-Archimedean Fields Geometric Satake Equivalence su(1,1) Algebra Composition Algebras Stable Correspondences SL_n Groups Characters of Representations Group Theory Canonical Representations Irreducible Characters Irreducible Representations Howe Duality Nearby Cycle Wess-Zumino-Witten Models Fundamental Group Hecke Algebras