Title of article
TENSOR-CLOSED OBJECTS IN THE BGG CATEGORY OF A QUANTIZED SEMISIMPLE LIE ALGEBRA
Author/Authors
Wei, Zhaoting Department of Mathematics - Texas A&M University-Commerce, USA
Pages
12
From page
175
To page
186
Abstract
We consider the BGG category O of a quantized universal enveloping algebra Uq(g). We call a module M ∈ O tensor-closed if M ⊗ N ∈ O
for any N ∈ O. In this paper we prove that M ∈ O is tensor-closed if and
only if M is finite dimensional. The method used in this paper applies to the
unquantized case as well.
Keywords
BGG category , quantized universal enveloping algebra , tensor product , formal character
Journal title
International Electronic Journal of Algebra
Serial Year
2021
Full Text URL
Record number
2599042
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