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Kessar, Radha (2010)
Publisher: Springer New York
Languages: English
Types: Article
Subjects: QA, Mathematics - Group Theory, Mathematics - Representation Theory

Classified by OpenAIRE into

arxiv: Mathematics::Number Theory
mesheuropmc: mental disorders
We show that between any pair of Galois conjugate blocks of finite group algebras, there exists an isotypy with all signs positive.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] J. Alperin and M. Brou´e, Local methods in block theory, Ann. of Math 110 (1979), 143-157.
    • [2] D. J. Benson and R. Kessar, Blocks inequivalent to their Frobenius twists, J. Algebra 315 (2007), no. 2, 588-599.
    • [3] R. Boltje, B. Xu, On p-permutation equivalences: between Rickard equivalences and isotypies. Trans. Amer. Math. Soc. 360 (2008), no. 10, 50675087.
    • [4] R. Brauer, W. Feit, On the number of irreducible characters of finite groups in a given block em Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 361-365.
    • [5] M. Brou´e, Blocs, Isom´etries parfaites, cat´egories d´erive´es C.R. Acd. Sci. Paris 307, Serie I (1988), 13-18.
    • [6] M. Brou´e, Isom´etries parfaites, types de blocs, cat´egories d´erive´es, Ast´erisque 181- 182 (1990), 61-91.
    • [7] G. Cliff, W. Plesken. A. Weiss, Order-theoretic properties of the center of a block. The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), Institute of Mathematics, University of Aberdeen, Fraser Noble Building, King's College, Aberdeen AB24 3UE, U.K.
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