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The Cell Structure, the Brauer Tree Structure, and Extensions of Cell Modules for Hecke Orders of Dihedral Groups

✍ Scribed by Klaus W Roggenkamp

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
130 KB
Volume
239
Category
Article
ISSN
0021-8693

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✦ Synopsis

IN MEMORIAM MARY GLAZMAN

We shall show that the Hecke order H H of the dihedral group of order 2 и p n D n w y1 x over ‫ޚ‬ q, q for an odd prime p is a projectively cellular order. We describe the corresponding cell ideals and compute the extension groups between the correw y1 x sponding cell modules; some are ‫-ޚ‬torsion-free, some are ‫ކ‬ q, q -torsion-free. p ⅷ ⅷ Moreover, we show that H H is a Brauer tree order to the tree ᎏᎏ(ᎏᎏ with D n ny 1 Ž . central exceptional vertex of multiplicity p и p y 1 r2.

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