Computer condensation of modular representations

Authors:
A. J. E. Ryba
Affiliations:
-
Venue:
Journal of Symbolic Computation
Year:
1990

Citing 0
Cited 4

Some problems in computational representation theory

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The 2- and 3-modular characters of J3, its covering group and automorphism group

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New sequential and parallel algorithms for generating high dimension Hecke algebras using the condensation technique

ISSAC '96 Proceedings of the 1996 international symposium on Symbolic and algebraic computation
Condensation of symmetrized tensor powers

Journal of Symbolic Computation

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Abstract

Condensation replaces an explicit matrix representation of a group by a related but much smaller representation of a Hecke algebra. We give a general account of condensation and show how condensation is used to obtain the structure of large matrix representations. We include a detailed description of a new implementation of condensation. As an example of condensation, we work through the stages of the computation of the 2-modular character table of G"2(3).