Abstract
Let G be a finite group, V a complex permutation module for G over a finite G-set X, and f:V×V→C a G-invariant positive semidefinite hermitian form on V. In this paper we show how to compute the radical V⊥ of f, by extending to nontransitive actions the classical combinatorial methods from the theory of association schemes. We apply this machinery to obtain a result for standard Majorana representations of the symmetric groups.
Lingua originale | English |
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pagine (da-a) | 425-440 |
Numero di pagine | 16 |
Rivista | Algebraic Combinatorics |
Volume | 1 |
DOI | |
Stato di pubblicazione | Pubblicato - 2018 |
Keywords
- Association scheme
- Hermitian form
- Majorana Representation
- Symmetric group