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Weyl Character Formula: Mathematics, Representation Theory, Compact Group, Weight (representation theory), Hermann Weyl, Unitary Representation, Lie Algebra, Simple Module, Ring Theory - Softcover
Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late 1920s. By definition, the character of a representation r of G is the trace of r(g), as a function of a group element g in G. The irreducible representations in this case are all finite-dimensional (this is part of the Peter-Weyl theorem); so the notion of trace is the usual one from linear algebra. Knowledge of the character χ of r is a good substitute for r itself, and can have algorithmic content. Weyl''s formula is a closed formula for the χ, in terms of other objects constructed from G and its Lie algebra. The representations in question here are complex, and so without loss of generality are unitary representations; irreducible therefore means the same as indecomposable, i.e. not a direct sum of two subrepresentations.
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late 1920s. By definition, the character of a representation r of G is the trace of r(g), as a function of a group element g in G. The irreducible representations in this case are all finite-dimensional (this is part of the Peter-Weyl theorem); so the notion of trace is the usual one from linear algebra. Knowledge of the character χ of r is a good substitute for r itself, and can have algorithmic content. Weyl''s formula is a closed formula for the χ, in terms of other objects constructed from G and its Lie algebra. The representations in question here are complex, and so without loss of generality are unitary representations; irreducible therefore means the same as indecomposable, i.e. not a direct sum of two subrepresentations.
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Weyl Character Formula
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VDM Verlag Dr. Müller E.K. Feb 2010, 2010
ISBN 10: 6130366183
ISBN 13: 9786130366186
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late 1920s. By definition, the character of a representation r of G is the trace of r(g), as a function of a group element g in G. The irreducible representations in this case are all finite-dimensional (this is part of the Peter-Weyl theorem); so the notion of trace is the usual one from linear algebra. Knowledge of the character of r is a good substitute for r itself, and can have algorithmic content. Weyl's formula is a closed formula for the , in terms of other objects constructed from G and its Lie algebra. The representations in question here are complex, and so without loss of generality are unitary representations; irreducible therefore means the same as indecomposable, i.e. not a direct sum of two subrepresentations. Englisch. Seller Inventory # 9786130366186
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Weyl Character Formula : Mathematics, Representation Theory, Compact Group, Weight (representation theory), Hermann Weyl, Unitary Representation, Lie Algebra, Simple Module, Ring Theory
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late 1920s. By definition, the character of a representation r of G is the trace of r(g), as a function of a group element g in G. The irreducible representations in this case are all finite-dimensional (this is part of the Peter-Weyl theorem); so the notion of trace is the usual one from linear algebra. Knowledge of the character of r is a good substitute for r itself, and can have algorithmic content. Weyl's formula is a closed formula for the , in terms of other objects constructed from G and its Lie algebra. The representations in question here are complex, and so without loss of generality are unitary representations; irreducible therefore means the same as indecomposable, i.e. not a direct sum of two subrepresentations. Seller Inventory # 9786130366186
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Weyl Character Formula | Mathematics, Representation Theory, Compact Group, Weight (representation theory), Hermann Weyl, Unitary Representation, Lie Algebra, Simple Module, Ring Theory
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Taschenbuch. Condition: Neu. Weyl Character Formula | Mathematics, Representation Theory, Compact Group, Weight (representation theory), Hermann Weyl, Unitary Representation, Lie Algebra, Simple Module, Ring Theory | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130366186 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 101318622