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On the global dimension of quasi--hereditary algebras with triangular decomposition
Author(s):
Steffen
König
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1993-1999.
MSC (1991):
Primary 16E10, 18G20;
Secondary 16G10, 17B10, 17B35, 18G05, 20G05
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Abstract:
Let  be a quasi--hereditary algebra with triangular decomposition  such that all Verma modules are semisimple over  . Then we show:  . Applying this formula to the more special class of twisted double incidence algebras of finite partially ordered sets, we get a proof of a conjecture of Deng and Xi. Another application is to the so-called dual extensions of algebras.
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Additional Information:
Steffen
König
Affiliation:
Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, D--70 569 Stuttgart, Federal Republic of Germany
Address at time of publication:
Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, D--33 501 Bielefeld, FR Germany
Email:
koenigs@mathematik.uni-bielefeld.de
DOI:
10.1090/S0002-9939-96-03549-6
PII:
S 0002-9939(96)03549-6
Received by editor(s):
March 25, 1994
Received by editor(s) in revised form:
July 1, 1994 and February 21, 1995
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1996,
American Mathematical Society
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