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3-blocks and 3-modular characters of G2(q)

โœ Scribed by Gerhard Hiss; Josephine Shamash

Book ID
103134518
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
703 KB
Volume
131
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

The 2-Modular Characters of Conway's Thi
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We determine the 2-modular character table of the third sporadic simple group of Conway, up to two ambiguities. In each of these cases we give the smallest possibility for the character, which is also very likely to be the correct answer.

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A typical use of Parker's Meat-Axe in the calculation of modular character tables is described. Irreducible representations of the sporadic simple group -/3 are calculated, and the complete modular character tables in characteristics 2 and 3 are deduced.

Identities Arising From Hecke Transforma
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โœ Jesse Ira Deutsch ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

The Hecke transform is used on Hilbert modular forms over \(Q(\sqrt{ } 2)\) and \(Q(\sqrt{ } 3)\) to produce unusual numerical identities. The case for \(Q(\sqrt{ } 3)\) is complicated by the fact that there are two spaces of modular forms. The computer algebra system MACSYMA was used to find eigenf