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On the Ext-Quiver of Blocks of Defect 3 of Symmetric Group Algebras

โœ Scribed by Stuart Martin; Lee Russell

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
513 KB
Volume
185
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Defect 3 Blocks of Symmetric Group Algeb
Defect 3 Blocks of Symmetric Group Algebras, I
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In this paper, we study if the following properties are present in defect 3 blocks ลฝ . of symmetric group algebras k แ‘ก , where k has characteristic p G 5 : n ลฝ . 1 the Ext-quiver is bipartite; ลฝ . 2 the p.i.m.'s have a common Loewy length 7. We obtain a criteria for a defect 3 block B of k แ‘ก to inhe

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In this paper, we obtain the ordinary characters and module structures of the Young modules of defect 2 blocks of symmetric group algebras. We also study how these modules induce and restrict in a 2 1 -pair.

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We show that it is possible to define reflection isomorphisms on the double of the (twisted) Hall algebra of a quiver. Combining these reflections with Fourier transform yields an alternative construction of Lusztig's braid group action on a quantum enveloping algebra.