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Blocks of Finite Type in Reduced Enveloping Algebras for Classical Lie Algebras
Author(s) -
Nakano Daniel K.,
Pollack R. David
Publication year - 2000
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/s0024610799008406
Subject(s) - mathematics , lie algebra , universal enveloping algebra , pure mathematics , algebra over a field , affine lie algebra , type (biology) , lie conformal algebra , block (permutation group theory) , character (mathematics) , graded lie algebra , adjoint representation of a lie algebra , combinatorics , current algebra , geometry , biology , ecology
It is determined when a block for the reduced enveloping algebra of a classical Lie algebra corresponding to a character in Levi form has finite representation type. These results refine earlier work of Premet.