Frobenius Symbols and the Groups SsGL(n), O(n) and Sp(n)

Y. J. Abramsky; H. A. Jahn; Ronald C. King

doi:10.4153/cjm-1973-100-2

October 1, 1973Canadian Journal of MathematicsOpen Access

Frobenius Symbols and the Groups SsGL(n), O(n) and Sp(n)

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Key Points

To explore the concept of Frobenius symbols and their role in understanding partitions and irreducible representations of the symmetric group.
Introduction of Frobenius symbols to specify partitions.
Analysis of corresponding irreducible representations of the symmetric group S s.
Investigation into the relationships with mathematical groups such as SGL(n), O(n), and Sp(n).
Established the importance of Frobenius symbols in categorizing partitions.
Demonstrated the connections between Frobenius symbols and the irreducible representations of specific mathematical groups.

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Implication

Theoretical exploration of Frobenius symbols in partitions and representations of groups such as SGL(n), O(n) and Sp(n), suggesting deeper mathematical connections.

Abstract

Frobenius [2; 3] introduced the symbols to specify partitions and the corresponding irreducible representations of the symmetric group S s .

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Abramsky et al. (1973) studied this question.

synapsesocial.com/papers/6a208bef3f9b8cb80cc63d0f https://doi.org/10.4153/cjm-1973-100-2

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Frobenius Symbols and the Groups SsGL(n), O(n) and Sp(n)

Key Points

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Implication

Abstract

Discussion

Cite This Study

Frobenius Symbols and the Groups SsGL(n), O(n) and Sp(n)

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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