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Resolutions of standard modules over KLR algebras of type A
Author(s) -
Buursma Doeke,
Kleshchev Alexander,
Steinberg David J.
Publication year - 2021
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12400
Subject(s) - type (biology) , affine transformation , construct (python library) , pure mathematics , projective test , mathematics , algebra over a field , computer science , programming language , biology , ecology
Khovanov–Lauda–Rouquier algebras R θ of finite Lie type are affine quasi‐hereditary with standard modules Δ ( π ) labeled by Kostant partitions π of θ . In type A , we construct explicit projective resolutions of standard modules Δ ( π ) .
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