The Representation Theory of the Symmetric Groups
James, G. D.
The Representation Theory of the Symmetric Groups [electronic resource] / by G. D. James. - VIII, 160 p. online resource. - Lecture Notes in Mathematics, 682 0075-8434 ; . - Lecture Notes in Mathematics, 682 .
Background from representation theory -- The symmetric group -- Diagrams, tableaux and tabloids -- Specht modules -- Examples -- The character table of -- The garnir relations -- The standard basis of the specht module -- The branching theorem -- p-regular partitions -- The irreducible representations of -- Composition factors -- Semistandard homomorphisms -- Young’s rule -- Sequences -- The Littlewood-richardson rule -- A specht series for M? -- Hooks and skew-hooks -- The determinantal form -- The hook formula for dimensions -- The murnaghan-nakayama rule -- Binomial coefficients -- Some irreducible specht modules -- On the decomposition matrices of -- Young’s orthogonal form -- Representations of the general linear group.
9783540357117
10.1007/BFb0067708 doi
Mathematics.
Mathematics, general.
QA1-939
510
The Representation Theory of the Symmetric Groups [electronic resource] / by G. D. James. - VIII, 160 p. online resource. - Lecture Notes in Mathematics, 682 0075-8434 ; . - Lecture Notes in Mathematics, 682 .
Background from representation theory -- The symmetric group -- Diagrams, tableaux and tabloids -- Specht modules -- Examples -- The character table of -- The garnir relations -- The standard basis of the specht module -- The branching theorem -- p-regular partitions -- The irreducible representations of -- Composition factors -- Semistandard homomorphisms -- Young’s rule -- Sequences -- The Littlewood-richardson rule -- A specht series for M? -- Hooks and skew-hooks -- The determinantal form -- The hook formula for dimensions -- The murnaghan-nakayama rule -- Binomial coefficients -- Some irreducible specht modules -- On the decomposition matrices of -- Young’s orthogonal form -- Representations of the general linear group.
9783540357117
10.1007/BFb0067708 doi
Mathematics.
Mathematics, general.
QA1-939
510