Projective functors for algebraic groups.

DOI10.1016/j.aim.2006.07.008zbMath1123.20037OpenAlexW2043564166MaRDI QIDQ875252

Oleksandr Khomenko

Publication date: 13 April 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.07.008

zbMATH Keywords

weightstilting modulescharacterscategories of modulesroot systemscomposition factorscategory \(\mathcal O\)Frobenius kernelsinduced modulesquantized enveloping algebrassemi-simple algebraic groupsmultiplicities of simple modulesprojective functors

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Projectives and injectives (category-theoretic aspects) (18G05) Categorical algebra (18E99)

Related Items (1)

Quotient Categories of Modular Representations

Cites Work

• Multiplicities of second cell tilting modules.
• On tilting modules for algebraic groups
• On the relation between intersection cohomology and representation theory in positive characteristic.
• Categories with projective functors
• Koszul Duality Patterns in Representation Theory
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