On Minimal Tilting Complexes in Highest Weight Categories

نویسندگان

چکیده

We explain the construction of minimal tilting complexes for objects highest weight categories and we study in detail standard simple objects. For certain representations complex Lie algebras, affine Kac-Moody algebras quantum groups at roots unity, relate multiplicities indecomposable appearing terms these to coefficients Kazhdan-Lusztig polynomials.

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ژورنال

عنوان ژورنال: Algebras and Representation Theory

سال: 2022

ISSN: ['1386-923X', '1572-9079']

DOI: https://doi.org/10.1007/s10468-022-10188-5