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Indecomposable objects of Rep_(GLt) in terms of exterior powers of the tautological object and its dual

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Abstract The purpose of this short note is to understand the split Grothendieck ring of the Deligne category Rep _ ( G L t ) . We give a formula… Click to show full abstract

Abstract The purpose of this short note is to understand the split Grothendieck ring of the Deligne category Rep _ ( G L t ) . We give a formula for the class of an indecomposable object in terms of exterior powers of the tautological object and its dual.

Keywords: terms exterior; tautological object; object dual; indecomposable objects; powers tautological; exterior powers

Journal Title: Journal of Algebra
Year Published: 2020

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