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The Schur Indices of the Irreducible Characters of the Special Linear Groups

✍ Scribed by Alexandre Turull

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
303 KB
Volume
235
Category
Article
ISSN
0021-8693

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✦ Synopsis

We compute the Schur indices of each irreducible character of SL n, q the special linear group, for all n G 1 and for all q a power of a prime.

πŸ“œ SIMILAR VOLUMES

The Irreducible Brauer Characters of the
The Irreducible Brauer Characters of the Finite Special Linear Groups in Non-describing Characteristics
✍ Jochen Gruber πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 357 KB

The irreducible Brauer characters of SL q are investigated for primes l not n Ε½ . dividing q. They are described in terms of a set of ordinary characters of SL q n whose reductions modulo l are a generating set of the additive group of generalized Brauer characters and the decomposition numbers of t

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The Finite Irreducible Monomial Linear Groups of Degree 4
✍ D.L Flannery πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 237 KB

This paper contains an irredundant listing of the finite irreducible monomial Ε½ . subgroups of GL 4, ‫ރ‬ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.

The Brauer Group of Irreducible Coalgebr
The Brauer Group of Irreducible Coalgebras
✍ J Cuadra; J.R Garcı́a Rozas; B Torrecillas; F Van Oystaeyen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 159 KB

That is, for a cocommuta-Ε½ . Ε½ . Ε½ . tive irreducible coalgebra C, the homomorphism y \*: Br C Βͺ Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ε½ . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ε½ . Some cases wher